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Finding the Fourth Proportional to 25,810.80, 38,723.49 and 10,824.99

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Solution

The fourth proportional to 25,810.80, 38,723.49 and 10,824.99 is: 16,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.80 : 38,723.49 = 10,824.99 : x
  2. Step 2: Convert to fraction form
    25,810.80/38,723.49 = 10,824.99/x
  3. Step 3: Cross multiply
    25,810.80x = 38,723.49 × 10,824.99
  4. Step 4: Simplify right side
    25,810.80x = 419,181,392.02
  5. Step 5: Solve for x
    x = 419,181,392.02/25,810.80
  6. Step 6: Final answer
    x = 16,240.54

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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.