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Finding the Fourth Proportional to 24,411.12, 36,616.80 and 6,880.80

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Solution

The fourth proportional to 24,411.12, 36,616.80 and 6,880.80 is: 10,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.12 : 36,616.80 = 6,880.80 : x
  2. Step 2: Convert to fraction form
    24,411.12/36,616.80 = 6,880.80/x
  3. Step 3: Cross multiply
    24,411.12x = 36,616.80 × 6,880.80
  4. Step 4: Simplify right side
    24,411.12x = 251,952,877.44
  5. Step 5: Solve for x
    x = 251,952,877.44/24,411.12
  6. Step 6: Final answer
    x = 10,321.23

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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.