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Finding the Fourth Proportional to 19,744.97, 29,590.72 and 9,891.32

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Solution

The fourth proportional to 19,744.97, 29,590.72 and 9,891.32 is: 14,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.97 : 29,590.72 = 9,891.32 : x
  2. Step 2: Convert to fraction form
    19,744.97/29,590.72 = 9,891.32/x
  3. Step 3: Cross multiply
    19,744.97x = 29,590.72 × 9,891.32
  4. Step 4: Simplify right side
    19,744.97x = 292,691,107.87
  5. Step 5: Solve for x
    x = 292,691,107.87/19,744.97
  6. Step 6: Final answer
    x = 14,823.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.