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Finding the Fourth Proportional to 14,086.17, 19,439.19 and 8,116.83

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Solution

The fourth proportional to 14,086.17, 19,439.19 and 8,116.83 is: 11,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.17 : 19,439.19 = 8,116.83 : x
  2. Step 2: Convert to fraction form
    14,086.17/19,439.19 = 8,116.83/x
  3. Step 3: Cross multiply
    14,086.17x = 19,439.19 × 8,116.83
  4. Step 4: Simplify right side
    14,086.17x = 157,784,600.57
  5. Step 5: Solve for x
    x = 157,784,600.57/14,086.17
  6. Step 6: Final answer
    x = 11,201.38

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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.