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Finding the Fourth Proportional to 43,614.96, 65,432.16 and 12,452.64

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Solution

The fourth proportional to 43,614.96, 65,432.16 and 12,452.64 is: 18,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614.96 : 65,432.16 = 12,452.64 : x
  2. Step 2: Convert to fraction form
    43,614.96/65,432.16 = 12,452.64/x
  3. Step 3: Cross multiply
    43,614.96x = 65,432.16 × 12,452.64
  4. Step 4: Simplify right side
    43,614.96x = 814,803,132.90
  5. Step 5: Solve for x
    x = 814,803,132.90/43,614.96
  6. Step 6: Final answer
    x = 18,681.74

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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.