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Finding the Fourth Proportional to 22,774.89, 34,165.96 and 9,627.38

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Solution

The fourth proportional to 22,774.89, 34,165.96 and 9,627.38 is: 14,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.89 : 34,165.96 = 9,627.38 : x
  2. Step 2: Convert to fraction form
    22,774.89/34,165.96 = 9,627.38/x
  3. Step 3: Cross multiply
    22,774.89x = 34,165.96 × 9,627.38
  4. Step 4: Simplify right side
    22,774.89x = 328,928,485.09
  5. Step 5: Solve for x
    x = 328,928,485.09/22,774.89
  6. Step 6: Final answer
    x = 14,442.59

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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.