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Finding the Fourth Proportional to 18,292.74, 27,438.72 and 8,432.00

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Solution

The fourth proportional to 18,292.74, 27,438.72 and 8,432.00 is: 12,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.74 : 27,438.72 = 8,432.00 : x
  2. Step 2: Convert to fraction form
    18,292.74/27,438.72 = 8,432.00/x
  3. Step 3: Cross multiply
    18,292.74x = 27,438.72 × 8,432.00
  4. Step 4: Simplify right side
    18,292.74x = 231,363,221.12
  5. Step 5: Solve for x
    x = 231,363,221.12/18,292.74
  6. Step 6: Final answer
    x = 12,647.82

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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.