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Finding the Fourth Proportional to 17,649, 24,355.20 and 9,691.20

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Solution

The fourth proportional to 17,649, 24,355.20 and 9,691.20 is: 13,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 24,355.20 = 9,691.20 : x
  2. Step 2: Convert to fraction form
    17,649/24,355.20 = 9,691.20/x
  3. Step 3: Cross multiply
    17,649x = 24,355.20 × 9,691.20
  4. Step 4: Simplify right side
    17,649x = 236,031,114.24
  5. Step 5: Solve for x
    x = 236,031,114.24/17,649
  6. Step 6: Final answer
    x = 13,373.63

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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.