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Finding the Fourth Proportional to 20,691.14, 31,012.39 and 9,574.34

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Solution

The fourth proportional to 20,691.14, 31,012.39 and 9,574.34 is: 14,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.14 : 31,012.39 = 9,574.34 : x
  2. Step 2: Convert to fraction form
    20,691.14/31,012.39 = 9,574.34/x
  3. Step 3: Cross multiply
    20,691.14x = 31,012.39 × 9,574.34
  4. Step 4: Simplify right side
    20,691.14x = 296,923,118.20
  5. Step 5: Solve for x
    x = 296,923,118.20/20,691.14
  6. Step 6: Final answer
    x = 14,350.25

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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.