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Finding the Fourth Proportional to 24,399.80, 36,599.24 and 7,760.98

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Solution

The fourth proportional to 24,399.80, 36,599.24 and 7,760.98 is: 11,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.80 : 36,599.24 = 7,760.98 : x
  2. Step 2: Convert to fraction form
    24,399.80/36,599.24 = 7,760.98/x
  3. Step 3: Cross multiply
    24,399.80x = 36,599.24 × 7,760.98
  4. Step 4: Simplify right side
    24,399.80x = 284,046,034.81
  5. Step 5: Solve for x
    x = 284,046,034.81/24,399.80
  6. Step 6: Final answer
    x = 11,641.33

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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.