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Finding the Fourth Proportional to 22,502.72, 31,053.56 and 12,431.41

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Solution

The fourth proportional to 22,502.72, 31,053.56 and 12,431.41 is: 17,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.72 : 31,053.56 = 12,431.41 : x
  2. Step 2: Convert to fraction form
    22,502.72/31,053.56 = 12,431.41/x
  3. Step 3: Cross multiply
    22,502.72x = 31,053.56 × 12,431.41
  4. Step 4: Simplify right side
    22,502.72x = 386,039,396.53
  5. Step 5: Solve for x
    x = 386,039,396.53/22,502.72
  6. Step 6: Final answer
    x = 17,155.23

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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.