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Finding the Fourth Proportional to 24,454.31, 36,680.85 and 7,814.07

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Solution

The fourth proportional to 24,454.31, 36,680.85 and 7,814.07 is: 11,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.31 : 36,680.85 = 7,814.07 : x
  2. Step 2: Convert to fraction form
    24,454.31/36,680.85 = 7,814.07/x
  3. Step 3: Cross multiply
    24,454.31x = 36,680.85 × 7,814.07
  4. Step 4: Simplify right side
    24,454.31x = 286,626,729.56
  5. Step 5: Solve for x
    x = 286,626,729.56/24,454.31
  6. Step 6: Final answer
    x = 11,720.91

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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.