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Finding the Fourth Proportional to 22,666.29, 34,005.20 and 13,314.22

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Solution

The fourth proportional to 22,666.29, 34,005.20 and 13,314.22 is: 19,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.29 : 34,005.20 = 13,314.22 : x
  2. Step 2: Convert to fraction form
    22,666.29/34,005.20 = 13,314.22/x
  3. Step 3: Cross multiply
    22,666.29x = 34,005.20 × 13,314.22
  4. Step 4: Simplify right side
    22,666.29x = 452,752,627.38
  5. Step 5: Solve for x
    x = 452,752,627.38/22,666.29
  6. Step 6: Final answer
    x = 19,974.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.