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Finding the Fourth Proportional to 20,534.96, 30,806.24 and 6,498.52

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Solution

The fourth proportional to 20,534.96, 30,806.24 and 6,498.52 is: 9,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.96 : 30,806.24 = 6,498.52 : x
  2. Step 2: Convert to fraction form
    20,534.96/30,806.24 = 6,498.52/x
  3. Step 3: Cross multiply
    20,534.96x = 30,806.24 × 6,498.52
  4. Step 4: Simplify right side
    20,534.96x = 200,194,873.50
  5. Step 5: Solve for x
    x = 200,194,873.50/20,534.96
  6. Step 6: Final answer
    x = 9,748.98

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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.