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Finding the Fourth Proportional to 22,704.75, 34,057.14 and 6,288.75

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Solution

The fourth proportional to 22,704.75, 34,057.14 and 6,288.75 is: 9,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.75 : 34,057.14 = 6,288.75 : x
  2. Step 2: Convert to fraction form
    22,704.75/34,057.14 = 6,288.75/x
  3. Step 3: Cross multiply
    22,704.75x = 34,057.14 × 6,288.75
  4. Step 4: Simplify right side
    22,704.75x = 214,176,839.18
  5. Step 5: Solve for x
    x = 214,176,839.18/22,704.75
  6. Step 6: Final answer
    x = 9,433.13

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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.