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Finding the Fourth Proportional to 17,920.92, 24,730.74 and 10,367.16

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Solution

The fourth proportional to 17,920.92, 24,730.74 and 10,367.16 is: 14,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.92 : 24,730.74 = 10,367.16 : x
  2. Step 2: Convert to fraction form
    17,920.92/24,730.74 = 10,367.16/x
  3. Step 3: Cross multiply
    17,920.92x = 24,730.74 × 10,367.16
  4. Step 4: Simplify right side
    17,920.92x = 256,387,538.50
  5. Step 5: Solve for x
    x = 256,387,538.50/17,920.92
  6. Step 6: Final answer
    x = 14,306.61

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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.