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Finding the Fourth Proportional to 20,132.52, 30,176.94 and 8,432.10

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Solution

The fourth proportional to 20,132.52, 30,176.94 and 8,432.10 is: 12,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.52 : 30,176.94 = 8,432.10 : x
  2. Step 2: Convert to fraction form
    20,132.52/30,176.94 = 8,432.10/x
  3. Step 3: Cross multiply
    20,132.52x = 30,176.94 × 8,432.10
  4. Step 4: Simplify right side
    20,132.52x = 254,454,975.77
  5. Step 5: Solve for x
    x = 254,454,975.77/20,132.52
  6. Step 6: Final answer
    x = 12,639.00

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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.