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Finding the Fourth Proportional to 22,981.29, 31,712.96 and 12,910.16

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Solution

The fourth proportional to 22,981.29, 31,712.96 and 12,910.16 is: 17,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.29 : 31,712.96 = 12,910.16 : x
  2. Step 2: Convert to fraction form
    22,981.29/31,712.96 = 12,910.16/x
  3. Step 3: Cross multiply
    22,981.29x = 31,712.96 × 12,910.16
  4. Step 4: Simplify right side
    22,981.29x = 409,419,164.56
  5. Step 5: Solve for x
    x = 409,419,164.56/22,981.29
  6. Step 6: Final answer
    x = 17,815.33

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