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Finding the Fourth Proportional to 17,928.78, 24,743.25 and 9,971.52

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Solution

The fourth proportional to 17,928.78, 24,743.25 and 9,971.52 is: 13,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.78 : 24,743.25 = 9,971.52 : x
  2. Step 2: Convert to fraction form
    17,928.78/24,743.25 = 9,971.52/x
  3. Step 3: Cross multiply
    17,928.78x = 24,743.25 × 9,971.52
  4. Step 4: Simplify right side
    17,928.78x = 246,727,812.24
  5. Step 5: Solve for x
    x = 246,727,812.24/17,928.78
  6. Step 6: Final answer
    x = 13,761.55

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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.