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Finding the Fourth Proportional to 20,534.89, 30,806.14 and 6,498.45

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Solution

The fourth proportional to 20,534.89, 30,806.14 and 6,498.45 is: 9,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.89 : 30,806.14 = 6,498.45 : x
  2. Step 2: Convert to fraction form
    20,534.89/30,806.14 = 6,498.45/x
  3. Step 3: Cross multiply
    20,534.89x = 30,806.14 × 6,498.45
  4. Step 4: Simplify right side
    20,534.89x = 200,192,160.48
  5. Step 5: Solve for x
    x = 200,192,160.48/20,534.89
  6. Step 6: Final answer
    x = 9,748.88

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