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Finding the Fourth Proportional to 22,640.27, 31,243.76 and 12,569.44

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Solution

The fourth proportional to 22,640.27, 31,243.76 and 12,569.44 is: 17,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.27 : 31,243.76 = 12,569.44 : x
  2. Step 2: Convert to fraction form
    22,640.27/31,243.76 = 12,569.44/x
  3. Step 3: Cross multiply
    22,640.27x = 31,243.76 × 12,569.44
  4. Step 4: Simplify right side
    22,640.27x = 392,716,566.69
  5. Step 5: Solve for x
    x = 392,716,566.69/22,640.27
  6. Step 6: Final answer
    x = 17,345.93

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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.