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Finding the Fourth Proportional to 13,219.31, 18,243.18 and 7,251.20

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Solution

The fourth proportional to 13,219.31, 18,243.18 and 7,251.20 is: 10,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.31 : 18,243.18 = 7,251.20 : x
  2. Step 2: Convert to fraction form
    13,219.31/18,243.18 = 7,251.20/x
  3. Step 3: Cross multiply
    13,219.31x = 18,243.18 × 7,251.20
  4. Step 4: Simplify right side
    13,219.31x = 132,284,946.82
  5. Step 5: Solve for x
    x = 132,284,946.82/13,219.31
  6. Step 6: Final answer
    x = 10,006.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.