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Finding the Fourth Proportional to 23,697.44, 32,697.68 and 15,207.20

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Solution

The fourth proportional to 23,697.44, 32,697.68 and 15,207.20 is: 20,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.44 : 32,697.68 = 15,207.20 : x
  2. Step 2: Convert to fraction form
    23,697.44/32,697.68 = 15,207.20/x
  3. Step 3: Cross multiply
    23,697.44x = 32,697.68 × 15,207.20
  4. Step 4: Simplify right side
    23,697.44x = 497,240,159.30
  5. Step 5: Solve for x
    x = 497,240,159.30/23,697.44
  6. Step 6: Final answer
    x = 20,982.86

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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.