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Finding the Fourth Proportional to 16,674.50, 25,024.04 and 13,426.80

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Solution

The fourth proportional to 16,674.50, 25,024.04 and 13,426.80 is: 20,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674.50 : 25,024.04 = 13,426.80 : x
  2. Step 2: Convert to fraction form
    16,674.50/25,024.04 = 13,426.80/x
  3. Step 3: Cross multiply
    16,674.50x = 25,024.04 × 13,426.80
  4. Step 4: Simplify right side
    16,674.50x = 335,992,713.14
  5. Step 5: Solve for x
    x = 335,992,713.14/16,674.50
  6. Step 6: Final answer
    x = 20,150.10

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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.