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Finding the Fourth Proportional to 13,715.16, 20,572.68 and 3,327

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Solution

The fourth proportional to 13,715.16, 20,572.68 and 3,327 is: 4,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.16 : 20,572.68 = 3,327 : x
  2. Step 2: Convert to fraction form
    13,715.16/20,572.68 = 3,327/x
  3. Step 3: Cross multiply
    13,715.16x = 20,572.68 × 3,327
  4. Step 4: Simplify right side
    13,715.16x = 68,445,306.36
  5. Step 5: Solve for x
    x = 68,445,306.36/13,715.16
  6. Step 6: Final answer
    x = 4,990.49

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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.