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Finding the Fourth Proportional to 27,188.59, 40,782.46 and 9,432.18

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Solution

The fourth proportional to 27,188.59, 40,782.46 and 9,432.18 is: 14,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.59 : 40,782.46 = 9,432.18 : x
  2. Step 2: Convert to fraction form
    27,188.59/40,782.46 = 9,432.18/x
  3. Step 3: Cross multiply
    27,188.59x = 40,782.46 × 9,432.18
  4. Step 4: Simplify right side
    27,188.59x = 384,667,503.56
  5. Step 5: Solve for x
    x = 384,667,503.56/27,188.59
  6. Step 6: Final answer
    x = 14,148.12

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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.