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Finding the Fourth Proportional to 22,775.25, 34,156.26 and 8,734.25

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Solution

The fourth proportional to 22,775.25, 34,156.26 and 8,734.25 is: 13,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.25 : 34,156.26 = 8,734.25 : x
  2. Step 2: Convert to fraction form
    22,775.25/34,156.26 = 8,734.25/x
  3. Step 3: Cross multiply
    22,775.25x = 34,156.26 × 8,734.25
  4. Step 4: Simplify right side
    22,775.25x = 298,329,313.91
  5. Step 5: Solve for x
    x = 298,329,313.91/22,775.25
  6. Step 6: Final answer
    x = 13,098.84

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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.