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Finding the Fourth Proportional to 17,449.20, 24,079.41 and 9,491.76

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Solution

The fourth proportional to 17,449.20, 24,079.41 and 9,491.76 is: 13,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.20 : 24,079.41 = 9,491.76 : x
  2. Step 2: Convert to fraction form
    17,449.20/24,079.41 = 9,491.76/x
  3. Step 3: Cross multiply
    17,449.20x = 24,079.41 × 9,491.76
  4. Step 4: Simplify right side
    17,449.20x = 228,555,980.66
  5. Step 5: Solve for x
    x = 228,555,980.66/17,449.20
  6. Step 6: Final answer
    x = 13,098.36

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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.