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Finding the Fourth Proportional to 17,709.60, 26,552.07 and 7,843.53

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Solution

The fourth proportional to 17,709.60, 26,552.07 and 7,843.53 is: 11,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.60 : 26,552.07 = 7,843.53 : x
  2. Step 2: Convert to fraction form
    17,709.60/26,552.07 = 7,843.53/x
  3. Step 3: Cross multiply
    17,709.60x = 26,552.07 × 7,843.53
  4. Step 4: Simplify right side
    17,709.60x = 208,261,957.61
  5. Step 5: Solve for x
    x = 208,261,957.61/17,709.60
  6. Step 6: Final answer
    x = 11,759.83

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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.