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Finding the Fourth Proportional to 22,856.76, 31,542.57 and 13,425.48

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Solution

The fourth proportional to 22,856.76, 31,542.57 and 13,425.48 is: 18,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.76 : 31,542.57 = 13,425.48 : x
  2. Step 2: Convert to fraction form
    22,856.76/31,542.57 = 13,425.48/x
  3. Step 3: Cross multiply
    22,856.76x = 31,542.57 × 13,425.48
  4. Step 4: Simplify right side
    22,856.76x = 423,474,142.68
  5. Step 5: Solve for x
    x = 423,474,142.68/22,856.76
  6. Step 6: Final answer
    x = 18,527.30

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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.