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Finding the Fourth Proportional to 17,478.65, 24,120.56 and 9,520.90

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Solution

The fourth proportional to 17,478.65, 24,120.56 and 9,520.90 is: 13,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.65 : 24,120.56 = 9,520.90 : x
  2. Step 2: Convert to fraction form
    17,478.65/24,120.56 = 9,520.90/x
  3. Step 3: Cross multiply
    17,478.65x = 24,120.56 × 9,520.90
  4. Step 4: Simplify right side
    17,478.65x = 229,649,403.20
  5. Step 5: Solve for x
    x = 229,649,403.20/17,478.65
  6. Step 6: Final answer
    x = 13,138.85

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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.