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Finding the Fourth Proportional to 13,378.31, 18,465.87 and 8,073.47

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Solution

The fourth proportional to 13,378.31, 18,465.87 and 8,073.47 is: 11,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.31 : 18,465.87 = 8,073.47 : x
  2. Step 2: Convert to fraction form
    13,378.31/18,465.87 = 8,073.47/x
  3. Step 3: Cross multiply
    13,378.31x = 18,465.87 × 8,073.47
  4. Step 4: Simplify right side
    13,378.31x = 149,083,723.91
  5. Step 5: Solve for x
    x = 149,083,723.91/13,378.31
  6. Step 6: Final answer
    x = 11,143.69

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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.