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Finding the Fourth Proportional to 22,665.78, 31,278.24 and 12,593.74

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Solution

The fourth proportional to 22,665.78, 31,278.24 and 12,593.74 is: 17,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.78 : 31,278.24 = 12,593.74 : x
  2. Step 2: Convert to fraction form
    22,665.78/31,278.24 = 12,593.74/x
  3. Step 3: Cross multiply
    22,665.78x = 31,278.24 × 12,593.74
  4. Step 4: Simplify right side
    22,665.78x = 393,910,022.22
  5. Step 5: Solve for x
    x = 393,910,022.22/22,665.78
  6. Step 6: Final answer
    x = 17,379.06

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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.