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Finding the Fourth Proportional to 20,507.57, 30,765.45 and 6,468.91

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Solution

The fourth proportional to 20,507.57, 30,765.45 and 6,468.91 is: 9,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.57 : 30,765.45 = 6,468.91 : x
  2. Step 2: Convert to fraction form
    20,507.57/30,765.45 = 6,468.91/x
  3. Step 3: Cross multiply
    20,507.57x = 30,765.45 × 6,468.91
  4. Step 4: Simplify right side
    20,507.57x = 199,018,839.23
  5. Step 5: Solve for x
    x = 199,018,839.23/20,507.57
  6. Step 6: Final answer
    x = 9,704.65

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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.