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Finding the Fourth Proportional to 17,098.66, 25,657.73 and 13,657.78

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Solution

The fourth proportional to 17,098.66, 25,657.73 and 13,657.78 is: 20,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.66 : 25,657.73 = 13,657.78 : x
  2. Step 2: Convert to fraction form
    17,098.66/25,657.73 = 13,657.78/x
  3. Step 3: Cross multiply
    17,098.66x = 25,657.73 × 13,657.78
  4. Step 4: Simplify right side
    17,098.66x = 350,427,435.06
  5. Step 5: Solve for x
    x = 350,427,435.06/17,098.66
  6. Step 6: Final answer
    x = 20,494.44

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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.