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Finding the Fourth Proportional to 24,231.60, 33,443.10 and 15,759

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Solution

The fourth proportional to 24,231.60, 33,443.10 and 15,759 is: 21,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.60 : 33,443.10 = 15,759 : x
  2. Step 2: Convert to fraction form
    24,231.60/33,443.10 = 15,759/x
  3. Step 3: Cross multiply
    24,231.60x = 33,443.10 × 15,759
  4. Step 4: Simplify right side
    24,231.60x = 527,029,812.90
  5. Step 5: Solve for x
    x = 527,029,812.90/24,231.60
  6. Step 6: Final answer
    x = 21,749.69

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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.