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Finding the Fourth Proportional to 17,649.90, 24,358.14 and 11,671.20

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Solution

The fourth proportional to 17,649.90, 24,358.14 and 11,671.20 is: 16,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.90 : 24,358.14 = 11,671.20 : x
  2. Step 2: Convert to fraction form
    17,649.90/24,358.14 = 11,671.20/x
  3. Step 3: Cross multiply
    17,649.90x = 24,358.14 × 11,671.20
  4. Step 4: Simplify right side
    17,649.90x = 284,288,723.57
  5. Step 5: Solve for x
    x = 284,288,723.57/17,649.90
  6. Step 6: Final answer
    x = 16,107.10

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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.