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Finding the Fourth Proportional to 12,362.71, 18,543.86 and 3,002.80

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Solution

The fourth proportional to 12,362.71, 18,543.86 and 3,002.80 is: 4,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.71 : 18,543.86 = 3,002.80 : x
  2. Step 2: Convert to fraction form
    12,362.71/18,543.86 = 3,002.80/x
  3. Step 3: Cross multiply
    12,362.71x = 18,543.86 × 3,002.80
  4. Step 4: Simplify right side
    12,362.71x = 55,683,487.79
  5. Step 5: Solve for x
    x = 55,683,487.79/12,362.71
  6. Step 6: Final answer
    x = 4,504.15

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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.