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Finding the Fourth Proportional to 22,861.67, 34,281.56 and 9,706.86

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Solution

The fourth proportional to 22,861.67, 34,281.56 and 9,706.86 is: 14,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.67 : 34,281.56 = 9,706.86 : x
  2. Step 2: Convert to fraction form
    22,861.67/34,281.56 = 9,706.86/x
  3. Step 3: Cross multiply
    22,861.67x = 34,281.56 × 9,706.86
  4. Step 4: Simplify right side
    22,861.67x = 332,766,327.77
  5. Step 5: Solve for x
    x = 332,766,327.77/22,861.67
  6. Step 6: Final answer
    x = 14,555.65

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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.