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Finding the Fourth Proportional to 24,454.26, 36,680.97 and 7,814.19

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Solution

The fourth proportional to 24,454.26, 36,680.97 and 7,814.19 is: 11,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.26 : 36,680.97 = 7,814.19 : x
  2. Step 2: Convert to fraction form
    24,454.26/36,680.97 = 7,814.19/x
  3. Step 3: Cross multiply
    24,454.26x = 36,680.97 × 7,814.19
  4. Step 4: Simplify right side
    24,454.26x = 286,632,068.96
  5. Step 5: Solve for x
    x = 286,632,068.96/24,454.26
  6. Step 6: Final answer
    x = 11,721.15

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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.