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Finding the Fourth Proportional to 17,874.25, 24,669.41 and 9,919.04

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Solution

The fourth proportional to 17,874.25, 24,669.41 and 9,919.04 is: 13,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.25 : 24,669.41 = 9,919.04 : x
  2. Step 2: Convert to fraction form
    17,874.25/24,669.41 = 9,919.04/x
  3. Step 3: Cross multiply
    17,874.25x = 24,669.41 × 9,919.04
  4. Step 4: Simplify right side
    17,874.25x = 244,696,691.62
  5. Step 5: Solve for x
    x = 244,696,691.62/17,874.25
  6. Step 6: Final answer
    x = 13,689.90

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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.