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Finding the Fourth Proportional to 17,894.77, 24,695.25 and 9,937.73

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Solution

The fourth proportional to 17,894.77, 24,695.25 and 9,937.73 is: 13,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.77 : 24,695.25 = 9,937.73 : x
  2. Step 2: Convert to fraction form
    17,894.77/24,695.25 = 9,937.73/x
  3. Step 3: Cross multiply
    17,894.77x = 24,695.25 × 9,937.73
  4. Step 4: Simplify right side
    17,894.77x = 245,414,751.25
  5. Step 5: Solve for x
    x = 245,414,751.25/17,894.77
  6. Step 6: Final answer
    x = 13,714.33

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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.