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Finding the Fourth Proportional to 24,385.46, 36,578.19 and 6,855.29

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Solution

The fourth proportional to 24,385.46, 36,578.19 and 6,855.29 is: 10,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.46 : 36,578.19 = 6,855.29 : x
  2. Step 2: Convert to fraction form
    24,385.46/36,578.19 = 6,855.29/x
  3. Step 3: Cross multiply
    24,385.46x = 36,578.19 × 6,855.29
  4. Step 4: Simplify right side
    24,385.46x = 250,754,100.13
  5. Step 5: Solve for x
    x = 250,754,100.13/24,385.46
  6. Step 6: Final answer
    x = 10,282.94

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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.