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Finding the Fourth Proportional to 13,917.81, 20,876.94 and 4,057.62

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Solution

The fourth proportional to 13,917.81, 20,876.94 and 4,057.62 is: 6,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.81 : 20,876.94 = 4,057.62 : x
  2. Step 2: Convert to fraction form
    13,917.81/20,876.94 = 4,057.62/x
  3. Step 3: Cross multiply
    13,917.81x = 20,876.94 × 4,057.62
  4. Step 4: Simplify right side
    13,917.81x = 84,710,689.28
  5. Step 5: Solve for x
    x = 84,710,689.28/13,917.81
  6. Step 6: Final answer
    x = 6,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.