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Finding the Fourth Proportional to 24,121.64, 36,182.64 and 7,481.36

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Solution

The fourth proportional to 24,121.64, 36,182.64 and 7,481.36 is: 11,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121.64 : 36,182.64 = 7,481.36 : x
  2. Step 2: Convert to fraction form
    24,121.64/36,182.64 = 7,481.36/x
  3. Step 3: Cross multiply
    24,121.64x = 36,182.64 × 7,481.36
  4. Step 4: Simplify right side
    24,121.64x = 270,695,355.59
  5. Step 5: Solve for x
    x = 270,695,355.59/24,121.64
  6. Step 6: Final answer
    x = 11,222.10

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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.