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Finding the Fourth Proportional to 24,469.26, 36,709.35 and 7,830.29

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Solution

The fourth proportional to 24,469.26, 36,709.35 and 7,830.29 is: 11,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.26 : 36,709.35 = 7,830.29 : x
  2. Step 2: Convert to fraction form
    24,469.26/36,709.35 = 7,830.29/x
  3. Step 3: Cross multiply
    24,469.26x = 36,709.35 × 7,830.29
  4. Step 4: Simplify right side
    24,469.26x = 287,444,839.69
  5. Step 5: Solve for x
    x = 287,444,839.69/24,469.26
  6. Step 6: Final answer
    x = 11,747.18

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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.