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Finding the Fourth Proportional to 18,432.81, 27,643.17 and 5,949.90

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Solution

The fourth proportional to 18,432.81, 27,643.17 and 5,949.90 is: 8,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.81 : 27,643.17 = 5,949.90 : x
  2. Step 2: Convert to fraction form
    18,432.81/27,643.17 = 5,949.90/x
  3. Step 3: Cross multiply
    18,432.81x = 27,643.17 × 5,949.90
  4. Step 4: Simplify right side
    18,432.81x = 164,474,097.18
  5. Step 5: Solve for x
    x = 164,474,097.18/18,432.81
  6. Step 6: Final answer
    x = 8,922.90

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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.