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Finding the Fourth Proportional to 22,665.42, 31,277.61 and 12,593.61

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Solution

The fourth proportional to 22,665.42, 31,277.61 and 12,593.61 is: 17,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.42 : 31,277.61 = 12,593.61 : x
  2. Step 2: Convert to fraction form
    22,665.42/31,277.61 = 12,593.61/x
  3. Step 3: Cross multiply
    22,665.42x = 31,277.61 × 12,593.61
  4. Step 4: Simplify right side
    22,665.42x = 393,898,022.07
  5. Step 5: Solve for x
    x = 393,898,022.07/22,665.42
  6. Step 6: Final answer
    x = 17,378.81

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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.