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Finding the Fourth Proportional to 23,527.50, 32,469.39 and 13,591.50

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Solution

The fourth proportional to 23,527.50, 32,469.39 and 13,591.50 is: 18,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.50 : 32,469.39 = 13,591.50 : x
  2. Step 2: Convert to fraction form
    23,527.50/32,469.39 = 13,591.50/x
  3. Step 3: Cross multiply
    23,527.50x = 32,469.39 × 13,591.50
  4. Step 4: Simplify right side
    23,527.50x = 441,307,714.19
  5. Step 5: Solve for x
    x = 441,307,714.19/23,527.50
  6. Step 6: Final answer
    x = 18,757.10

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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.