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Finding the Fourth Proportional to 22,757.46, 34,114.16 and 8,706.68

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Solution

The fourth proportional to 22,757.46, 34,114.16 and 8,706.68 is: 13,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.46 : 34,114.16 = 8,706.68 : x
  2. Step 2: Convert to fraction form
    22,757.46/34,114.16 = 8,706.68/x
  3. Step 3: Cross multiply
    22,757.46x = 34,114.16 × 8,706.68
  4. Step 4: Simplify right side
    22,757.46x = 297,020,860.48
  5. Step 5: Solve for x
    x = 297,020,860.48/22,757.46
  6. Step 6: Final answer
    x = 13,051.58

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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.