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Finding the Fourth Proportional to 24,377.67, 36,567.87 and 6,846.13

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Solution

The fourth proportional to 24,377.67, 36,567.87 and 6,846.13 is: 10,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.67 : 36,567.87 = 6,846.13 : x
  2. Step 2: Convert to fraction form
    24,377.67/36,567.87 = 6,846.13/x
  3. Step 3: Cross multiply
    24,377.67x = 36,567.87 × 6,846.13
  4. Step 4: Simplify right side
    24,377.67x = 250,348,174.77
  5. Step 5: Solve for x
    x = 250,348,174.77/24,377.67
  6. Step 6: Final answer
    x = 10,269.57

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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.