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Finding the Fourth Proportional to 12,444.96, 18,665.76 and 3,680.80

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Solution

The fourth proportional to 12,444.96, 18,665.76 and 3,680.80 is: 5,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.96 : 18,665.76 = 3,680.80 : x
  2. Step 2: Convert to fraction form
    12,444.96/18,665.76 = 3,680.80/x
  3. Step 3: Cross multiply
    12,444.96x = 18,665.76 × 3,680.80
  4. Step 4: Simplify right side
    12,444.96x = 68,704,929.41
  5. Step 5: Solve for x
    x = 68,704,929.41/12,444.96
  6. Step 6: Final answer
    x = 5,520.70

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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.