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Finding the Fourth Proportional to 17,404.38, 24,017.40 and 9,446.43

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Solution

The fourth proportional to 17,404.38, 24,017.40 and 9,446.43 is: 13,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.38 : 24,017.40 = 9,446.43 : x
  2. Step 2: Convert to fraction form
    17,404.38/24,017.40 = 9,446.43/x
  3. Step 3: Cross multiply
    17,404.38x = 24,017.40 × 9,446.43
  4. Step 4: Simplify right side
    17,404.38x = 226,878,640.65
  5. Step 5: Solve for x
    x = 226,878,640.65/17,404.38
  6. Step 6: Final answer
    x = 13,035.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.