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Finding the Fourth Proportional to 12,844.68, 19,251.24 and 7,302.66

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Solution

The fourth proportional to 12,844.68, 19,251.24 and 7,302.66 is: 10,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.68 : 19,251.24 = 7,302.66 : x
  2. Step 2: Convert to fraction form
    12,844.68/19,251.24 = 7,302.66/x
  3. Step 3: Cross multiply
    12,844.68x = 19,251.24 × 7,302.66
  4. Step 4: Simplify right side
    12,844.68x = 140,585,260.30
  5. Step 5: Solve for x
    x = 140,585,260.30/12,844.68
  6. Step 6: Final answer
    x = 10,945.02

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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.