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Finding the Fourth Proportional to 17,601.25, 24,283.75 and 10,042.15

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Solution

The fourth proportional to 17,601.25, 24,283.75 and 10,042.15 is: 13,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601.25 : 24,283.75 = 10,042.15 : x
  2. Step 2: Convert to fraction form
    17,601.25/24,283.75 = 10,042.15/x
  3. Step 3: Cross multiply
    17,601.25x = 24,283.75 × 10,042.15
  4. Step 4: Simplify right side
    17,601.25x = 243,861,009.85
  5. Step 5: Solve for x
    x = 243,861,009.85/17,601.25
  6. Step 6: Final answer
    x = 13,854.76

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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.