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Finding the Fourth Proportional to 17,894.38, 24,693.42 and 9,937.10

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Solution

The fourth proportional to 17,894.38, 24,693.42 and 9,937.10 is: 13,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.38 : 24,693.42 = 9,937.10 : x
  2. Step 2: Convert to fraction form
    17,894.38/24,693.42 = 9,937.10/x
  3. Step 3: Cross multiply
    17,894.38x = 24,693.42 × 9,937.10
  4. Step 4: Simplify right side
    17,894.38x = 245,380,983.88
  5. Step 5: Solve for x
    x = 245,380,983.88/17,894.38
  6. Step 6: Final answer
    x = 13,712.74

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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.