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Finding the Fourth Proportional to 12,331.40, 18,478.20 and 9,196.70

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Solution

The fourth proportional to 12,331.40, 18,478.20 and 9,196.70 is: 13,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.40 : 18,478.20 = 9,196.70 : x
  2. Step 2: Convert to fraction form
    12,331.40/18,478.20 = 9,196.70/x
  3. Step 3: Cross multiply
    12,331.40x = 18,478.20 × 9,196.70
  4. Step 4: Simplify right side
    12,331.40x = 169,938,461.94
  5. Step 5: Solve for x
    x = 169,938,461.94/12,331.40
  6. Step 6: Final answer
    x = 13,780.95

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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.