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Finding the Fourth Proportional to 22,892.29, 31,588.04 and 12,821.15

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Solution

The fourth proportional to 22,892.29, 31,588.04 and 12,821.15 is: 17,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.29 : 31,588.04 = 12,821.15 : x
  2. Step 2: Convert to fraction form
    22,892.29/31,588.04 = 12,821.15/x
  3. Step 3: Cross multiply
    22,892.29x = 31,588.04 × 12,821.15
  4. Step 4: Simplify right side
    22,892.29x = 404,995,110.07
  5. Step 5: Solve for x
    x = 404,995,110.07/22,892.29
  6. Step 6: Final answer
    x = 17,691.33

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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.