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Finding the Fourth Proportional to 25,715.71, 35,487.21 and 14,537.71

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Solution

The fourth proportional to 25,715.71, 35,487.21 and 14,537.71 is: 20,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.71 : 35,487.21 = 14,537.71 : x
  2. Step 2: Convert to fraction form
    25,715.71/35,487.21 = 14,537.71/x
  3. Step 3: Cross multiply
    25,715.71x = 35,487.21 × 14,537.71
  4. Step 4: Simplify right side
    25,715.71x = 515,902,767.69
  5. Step 5: Solve for x
    x = 515,902,767.69/25,715.71
  6. Step 6: Final answer
    x = 20,061.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.