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Finding the Fourth Proportional to 20,452.86, 30,686.58 and 11,695.14

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Solution

The fourth proportional to 20,452.86, 30,686.58 and 11,695.14 is: 17,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.86 : 30,686.58 = 11,695.14 : x
  2. Step 2: Convert to fraction form
    20,452.86/30,686.58 = 11,695.14/x
  3. Step 3: Cross multiply
    20,452.86x = 30,686.58 × 11,695.14
  4. Step 4: Simplify right side
    20,452.86x = 358,883,849.22
  5. Step 5: Solve for x
    x = 358,883,849.22/20,452.86
  6. Step 6: Final answer
    x = 17,546.88

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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.