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Finding the Fourth Proportional to 20,704.29, 31,069.16 and 8,222.13

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Solution

The fourth proportional to 20,704.29, 31,069.16 and 8,222.13 is: 12,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.29 : 31,069.16 = 8,222.13 : x
  2. Step 2: Convert to fraction form
    20,704.29/31,069.16 = 8,222.13/x
  3. Step 3: Cross multiply
    20,704.29x = 31,069.16 × 8,222.13
  4. Step 4: Simplify right side
    20,704.29x = 255,454,631.40
  5. Step 5: Solve for x
    x = 255,454,631.40/20,704.29
  6. Step 6: Final answer
    x = 12,338.25

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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.