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Finding the Fourth Proportional to 17,920.24, 24,727.14 and 9,962.44

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Solution

The fourth proportional to 17,920.24, 24,727.14 and 9,962.44 is: 13,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.24 : 24,727.14 = 9,962.44 : x
  2. Step 2: Convert to fraction form
    17,920.24/24,727.14 = 9,962.44/x
  3. Step 3: Cross multiply
    17,920.24x = 24,727.14 × 9,962.44
  4. Step 4: Simplify right side
    17,920.24x = 246,342,648.62
  5. Step 5: Solve for x
    x = 246,342,648.62/17,920.24
  6. Step 6: Final answer
    x = 13,746.62

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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.