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Finding the Fourth Proportional to 18,288.38, 27,432.69 and 5,141

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Solution

The fourth proportional to 18,288.38, 27,432.69 and 5,141 is: 7,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.38 : 27,432.69 = 5,141 : x
  2. Step 2: Convert to fraction form
    18,288.38/27,432.69 = 5,141/x
  3. Step 3: Cross multiply
    18,288.38x = 27,432.69 × 5,141
  4. Step 4: Simplify right side
    18,288.38x = 141,031,459.29
  5. Step 5: Solve for x
    x = 141,031,459.29/18,288.38
  6. Step 6: Final answer
    x = 7,711.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.