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Finding the Fourth Proportional to 24,414.40, 36,616.80 and 7,998.40

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Solution

The fourth proportional to 24,414.40, 36,616.80 and 7,998.40 is: 11,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.40 : 36,616.80 = 7,998.40 : x
  2. Step 2: Convert to fraction form
    24,414.40/36,616.80 = 7,998.40/x
  3. Step 3: Cross multiply
    24,414.40x = 36,616.80 × 7,998.40
  4. Step 4: Simplify right side
    24,414.40x = 292,875,813.12
  5. Step 5: Solve for x
    x = 292,875,813.12/24,414.40
  6. Step 6: Final answer
    x = 11,996.03

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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.