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Finding the Fourth Proportional to 17,627.50, 24,326.92 and 10,177.90

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Solution

The fourth proportional to 17,627.50, 24,326.92 and 10,177.90 is: 14,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.50 : 24,326.92 = 10,177.90 : x
  2. Step 2: Convert to fraction form
    17,627.50/24,326.92 = 10,177.90/x
  3. Step 3: Cross multiply
    17,627.50x = 24,326.92 × 10,177.90
  4. Step 4: Simplify right side
    17,627.50x = 247,596,959.07
  5. Step 5: Solve for x
    x = 247,596,959.07/17,627.50
  6. Step 6: Final answer
    x = 14,046.06

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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.