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Finding the Fourth Proportional to 13,943.50, 20,917.20 and 4,083.50

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Solution

The fourth proportional to 13,943.50, 20,917.20 and 4,083.50 is: 6,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.50 : 20,917.20 = 4,083.50 : x
  2. Step 2: Convert to fraction form
    13,943.50/20,917.20 = 4,083.50/x
  3. Step 3: Cross multiply
    13,943.50x = 20,917.20 × 4,083.50
  4. Step 4: Simplify right side
    13,943.50x = 85,415,386.20
  5. Step 5: Solve for x
    x = 85,415,386.20/13,943.50
  6. Step 6: Final answer
    x = 6,125.82

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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.