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Finding the Fourth Proportional to 24,384.80, 36,578.56 and 6,853.26

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Solution

The fourth proportional to 24,384.80, 36,578.56 and 6,853.26 is: 10,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.80 : 36,578.56 = 6,853.26 : x
  2. Step 2: Convert to fraction form
    24,384.80/36,578.56 = 6,853.26/x
  3. Step 3: Cross multiply
    24,384.80x = 36,578.56 × 6,853.26
  4. Step 4: Simplify right side
    24,384.80x = 250,682,382.11
  5. Step 5: Solve for x
    x = 250,682,382.11/24,384.80
  6. Step 6: Final answer
    x = 10,280.27

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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.