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Finding the Fourth Proportional to 23,296.57, 32,149.65 and 13,225.31

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Solution

The fourth proportional to 23,296.57, 32,149.65 and 13,225.31 is: 18,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.57 : 32,149.65 = 13,225.31 : x
  2. Step 2: Convert to fraction form
    23,296.57/32,149.65 = 13,225.31/x
  3. Step 3: Cross multiply
    23,296.57x = 32,149.65 × 13,225.31
  4. Step 4: Simplify right side
    23,296.57x = 425,188,877.30
  5. Step 5: Solve for x
    x = 425,188,877.30/23,296.57
  6. Step 6: Final answer
    x = 18,251.14

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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.