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Finding the Fourth Proportional to 23,241.86, 32,074.54 and 13,680.02

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Solution

The fourth proportional to 23,241.86, 32,074.54 and 13,680.02 is: 18,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.86 : 32,074.54 = 13,680.02 : x
  2. Step 2: Convert to fraction form
    23,241.86/32,074.54 = 13,680.02/x
  3. Step 3: Cross multiply
    23,241.86x = 32,074.54 × 13,680.02
  4. Step 4: Simplify right side
    23,241.86x = 438,780,348.69
  5. Step 5: Solve for x
    x = 438,780,348.69/23,241.86
  6. Step 6: Final answer
    x = 18,878.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.