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Finding the Fourth Proportional to 24,584.40, 36,876.12 and 7,945.68

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Solution

The fourth proportional to 24,584.40, 36,876.12 and 7,945.68 is: 11,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584.40 : 36,876.12 = 7,945.68 : x
  2. Step 2: Convert to fraction form
    24,584.40/36,876.12 = 7,945.68/x
  3. Step 3: Cross multiply
    24,584.40x = 36,876.12 × 7,945.68
  4. Step 4: Simplify right side
    24,584.40x = 293,005,849.16
  5. Step 5: Solve for x
    x = 293,005,849.16/24,584.40
  6. Step 6: Final answer
    x = 11,918.36

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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.