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Finding the Fourth Proportional to 22,861.40, 34,285.11 and 8,066.86

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Solution

The fourth proportional to 22,861.40, 34,285.11 and 8,066.86 is: 12,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.40 : 34,285.11 = 8,066.86 : x
  2. Step 2: Convert to fraction form
    22,861.40/34,285.11 = 8,066.86/x
  3. Step 3: Cross multiply
    22,861.40x = 34,285.11 × 8,066.86
  4. Step 4: Simplify right side
    22,861.40x = 276,573,011.03
  5. Step 5: Solve for x
    x = 276,573,011.03/22,861.40
  6. Step 6: Final answer
    x = 12,097.82

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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.