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Finding the Fourth Proportional to 12,152.68, 18,229.02 and 6,954.94

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Solution

The fourth proportional to 12,152.68, 18,229.02 and 6,954.94 is: 10,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.68 : 18,229.02 = 6,954.94 : x
  2. Step 2: Convert to fraction form
    12,152.68/18,229.02 = 6,954.94/x
  3. Step 3: Cross multiply
    12,152.68x = 18,229.02 × 6,954.94
  4. Step 4: Simplify right side
    12,152.68x = 126,781,740.36
  5. Step 5: Solve for x
    x = 126,781,740.36/12,152.68
  6. Step 6: Final answer
    x = 10,432.41

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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.