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Finding the Fourth Proportional to 22,666.56, 34,000.32 and 7,876

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Solution

The fourth proportional to 22,666.56, 34,000.32 and 7,876 is: 11,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.56 : 34,000.32 = 7,876 : x
  2. Step 2: Convert to fraction form
    22,666.56/34,000.32 = 7,876/x
  3. Step 3: Cross multiply
    22,666.56x = 34,000.32 × 7,876
  4. Step 4: Simplify right side
    22,666.56x = 267,786,520.32
  5. Step 5: Solve for x
    x = 267,786,520.32/22,666.56
  6. Step 6: Final answer
    x = 11,814.17

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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.