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Finding the Fourth Proportional to 20,193.13, 30,294.56 and 6,865.90

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Solution

The fourth proportional to 20,193.13, 30,294.56 and 6,865.90 is: 10,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.13 : 30,294.56 = 6,865.90 : x
  2. Step 2: Convert to fraction form
    20,193.13/30,294.56 = 6,865.90/x
  3. Step 3: Cross multiply
    20,193.13x = 30,294.56 × 6,865.90
  4. Step 4: Simplify right side
    20,193.13x = 207,999,419.50
  5. Step 5: Solve for x
    x = 207,999,419.50/20,193.13
  6. Step 6: Final answer
    x = 10,300.50

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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.