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Finding the Fourth Proportional to 22,665.36, 31,279.14 and 12,593.76

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Solution

The fourth proportional to 22,665.36, 31,279.14 and 12,593.76 is: 17,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.36 : 31,279.14 = 12,593.76 : x
  2. Step 2: Convert to fraction form
    22,665.36/31,279.14 = 12,593.76/x
  3. Step 3: Cross multiply
    22,665.36x = 31,279.14 × 12,593.76
  4. Step 4: Simplify right side
    22,665.36x = 393,921,982.17
  5. Step 5: Solve for x
    x = 393,921,982.17/22,665.36
  6. Step 6: Final answer
    x = 17,379.91

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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.