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Finding the Fourth Proportional to 13,822.18, 20,730.03 and 3,959.62

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Solution

The fourth proportional to 13,822.18, 20,730.03 and 3,959.62 is: 5,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.18 : 20,730.03 = 3,959.62 : x
  2. Step 2: Convert to fraction form
    13,822.18/20,730.03 = 3,959.62/x
  3. Step 3: Cross multiply
    13,822.18x = 20,730.03 × 3,959.62
  4. Step 4: Simplify right side
    13,822.18x = 82,083,041.39
  5. Step 5: Solve for x
    x = 82,083,041.39/13,822.18
  6. Step 6: Final answer
    x = 5,938.50

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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.