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Finding the Fourth Proportional to 12,140.32, 18,211.12 and 6,951.20

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Solution

The fourth proportional to 12,140.32, 18,211.12 and 6,951.20 is: 10,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.32 : 18,211.12 = 6,951.20 : x
  2. Step 2: Convert to fraction form
    12,140.32/18,211.12 = 6,951.20/x
  3. Step 3: Cross multiply
    12,140.32x = 18,211.12 × 6,951.20
  4. Step 4: Simplify right side
    12,140.32x = 126,589,137.34
  5. Step 5: Solve for x
    x = 126,589,137.34/12,140.32
  6. Step 6: Final answer
    x = 10,427.17

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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.