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Finding the Fourth Proportional to 16,806,523.20, 25,209,784.80 and 10,429,231.20

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Solution

The fourth proportional to 16,806,523.20, 25,209,784.80 and 10,429,231.20 is: 15,643,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806,523.20 : 25,209,784.80 = 10,429,231.20 : x
  2. Step 2: Convert to fraction form
    16,806,523.20/25,209,784.80 = 10,429,231.20/x
  3. Step 3: Cross multiply
    16,806,523.20x = 25,209,784.80 × 10,429,231.20
  4. Step 4: Simplify right side
    16,806,523.20x = 262,918,674,181,445.75
  5. Step 5: Solve for x
    x = 262,918,674,181,445.75/16,806,523.20
  6. Step 6: Final answer
    x = 15,643,846.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.