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Finding the Fourth Proportional to 22,637.53, 31,238.31 and 12,565.48

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Solution

The fourth proportional to 22,637.53, 31,238.31 and 12,565.48 is: 17,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.53 : 31,238.31 = 12,565.48 : x
  2. Step 2: Convert to fraction form
    22,637.53/31,238.31 = 12,565.48/x
  3. Step 3: Cross multiply
    22,637.53x = 31,238.31 × 12,565.48
  4. Step 4: Simplify right side
    22,637.53x = 392,524,359.54
  5. Step 5: Solve for x
    x = 392,524,359.54/22,637.53
  6. Step 6: Final answer
    x = 17,339.54

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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.