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Finding the Fourth Proportional to 22,892.98, 31,593.09 and 13,462.42

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Solution

The fourth proportional to 22,892.98, 31,593.09 and 13,462.42 is: 18,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.98 : 31,593.09 = 13,462.42 : x
  2. Step 2: Convert to fraction form
    22,892.98/31,593.09 = 13,462.42/x
  3. Step 3: Cross multiply
    22,892.98x = 31,593.09 × 13,462.42
  4. Step 4: Simplify right side
    22,892.98x = 425,319,446.68
  5. Step 5: Solve for x
    x = 425,319,446.68/22,892.98
  6. Step 6: Final answer
    x = 18,578.60

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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.