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Finding the Fourth Proportional to 13,432.60, 20,148.90 and 8,507.80

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Solution

The fourth proportional to 13,432.60, 20,148.90 and 8,507.80 is: 12,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.60 : 20,148.90 = 8,507.80 : x
  2. Step 2: Convert to fraction form
    13,432.60/20,148.90 = 8,507.80/x
  3. Step 3: Cross multiply
    13,432.60x = 20,148.90 × 8,507.80
  4. Step 4: Simplify right side
    13,432.60x = 171,422,811.42
  5. Step 5: Solve for x
    x = 171,422,811.42/13,432.60
  6. Step 6: Final answer
    x = 12,761.70

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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.