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Finding the Fourth Proportional to 20,874.77, 31,315.39 and 7,022.69

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Solution

The fourth proportional to 20,874.77, 31,315.39 and 7,022.69 is: 10,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.77 : 31,315.39 = 7,022.69 : x
  2. Step 2: Convert to fraction form
    20,874.77/31,315.39 = 7,022.69/x
  3. Step 3: Cross multiply
    20,874.77x = 31,315.39 × 7,022.69
  4. Step 4: Simplify right side
    20,874.77x = 219,918,276.20
  5. Step 5: Solve for x
    x = 219,918,276.20/20,874.77
  6. Step 6: Final answer
    x = 10,535.12

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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.