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Finding the Fourth Proportional to 17,478.65, 24,120.81 and 9,520.86

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Solution

The fourth proportional to 17,478.65, 24,120.81 and 9,520.86 is: 13,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.65 : 24,120.81 = 9,520.86 : x
  2. Step 2: Convert to fraction form
    17,478.65/24,120.81 = 9,520.86/x
  3. Step 3: Cross multiply
    17,478.65x = 24,120.81 × 9,520.86
  4. Step 4: Simplify right side
    17,478.65x = 229,650,855.10
  5. Step 5: Solve for x
    x = 229,650,855.10/17,478.65
  6. Step 6: Final answer
    x = 13,138.94

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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.