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Finding the Fourth Proportional to 17,894, 24,693.72 and 9,937.52

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Solution

The fourth proportional to 17,894, 24,693.72 and 9,937.52 is: 13,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894 : 24,693.72 = 9,937.52 : x
  2. Step 2: Convert to fraction form
    17,894/24,693.72 = 9,937.52/x
  3. Step 3: Cross multiply
    17,894x = 24,693.72 × 9,937.52
  4. Step 4: Simplify right side
    17,894x = 245,394,336.37
  5. Step 5: Solve for x
    x = 245,394,336.37/17,894
  6. Step 6: Final answer
    x = 13,713.78

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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.