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Finding the Fourth Proportional to 22,677.27, 34,018.98 and 7,884.27

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Solution

The fourth proportional to 22,677.27, 34,018.98 and 7,884.27 is: 11,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.27 : 34,018.98 = 7,884.27 : x
  2. Step 2: Convert to fraction form
    22,677.27/34,018.98 = 7,884.27/x
  3. Step 3: Cross multiply
    22,677.27x = 34,018.98 × 7,884.27
  4. Step 4: Simplify right side
    22,677.27x = 268,214,902.01
  5. Step 5: Solve for x
    x = 268,214,902.01/22,677.27
  6. Step 6: Final answer
    x = 11,827.48

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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.