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Finding the Fourth Proportional to 20,577.40, 30,867.17 and 6,538.52

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Solution

The fourth proportional to 20,577.40, 30,867.17 and 6,538.52 is: 9,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.40 : 30,867.17 = 6,538.52 : x
  2. Step 2: Convert to fraction form
    20,577.40/30,867.17 = 6,538.52/x
  3. Step 3: Cross multiply
    20,577.40x = 30,867.17 × 6,538.52
  4. Step 4: Simplify right side
    20,577.40x = 201,825,575.70
  5. Step 5: Solve for x
    x = 201,825,575.70/20,577.40
  6. Step 6: Final answer
    x = 9,808.12

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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.