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Finding the Fourth Proportional to 22,817.79, 31,489.42 and 13,257.56

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Solution

The fourth proportional to 22,817.79, 31,489.42 and 13,257.56 is: 18,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.79 : 31,489.42 = 13,257.56 : x
  2. Step 2: Convert to fraction form
    22,817.79/31,489.42 = 13,257.56/x
  3. Step 3: Cross multiply
    22,817.79x = 31,489.42 × 13,257.56
  4. Step 4: Simplify right side
    22,817.79x = 417,472,875.02
  5. Step 5: Solve for x
    x = 417,472,875.02/22,817.79
  6. Step 6: Final answer
    x = 18,295.94

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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.