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Finding the Fourth Proportional to 15,764.32, 23,616.24 and 8,843.68

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Solution

The fourth proportional to 15,764.32, 23,616.24 and 8,843.68 is: 13,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.32 : 23,616.24 = 8,843.68 : x
  2. Step 2: Convert to fraction form
    15,764.32/23,616.24 = 8,843.68/x
  3. Step 3: Cross multiply
    15,764.32x = 23,616.24 × 8,843.68
  4. Step 4: Simplify right side
    15,764.32x = 208,854,469.36
  5. Step 5: Solve for x
    x = 208,854,469.36/15,764.32
  6. Step 6: Final answer
    x = 13,248.56

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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.