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Finding the Fourth Proportional to 24,427.62, 36,616.80 and 9,630.80

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Solution

The fourth proportional to 24,427.62, 36,616.80 and 9,630.80 is: 14,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.62 : 36,616.80 = 9,630.80 : x
  2. Step 2: Convert to fraction form
    24,427.62/36,616.80 = 9,630.80/x
  3. Step 3: Cross multiply
    24,427.62x = 36,616.80 × 9,630.80
  4. Step 4: Simplify right side
    24,427.62x = 352,649,077.44
  5. Step 5: Solve for x
    x = 352,649,077.44/24,427.62
  6. Step 6: Final answer
    x = 14,436.49

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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.