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Finding the Fourth Proportional to 14,039.18, 19,371.13 and 8,217.20

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Solution

The fourth proportional to 14,039.18, 19,371.13 and 8,217.20 is: 11,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.18 : 19,371.13 = 8,217.20 : x
  2. Step 2: Convert to fraction form
    14,039.18/19,371.13 = 8,217.20/x
  3. Step 3: Cross multiply
    14,039.18x = 19,371.13 × 8,217.20
  4. Step 4: Simplify right side
    14,039.18x = 159,176,449.44
  5. Step 5: Solve for x
    x = 159,176,449.44/14,039.18
  6. Step 6: Final answer
    x = 11,338.02

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Why These Related Problems?

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