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Finding the Fourth Proportional to 15,227, 22,850.10 and 5,992.76

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Solution

The fourth proportional to 15,227, 22,850.10 and 5,992.76 is: 8,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227 : 22,850.10 = 5,992.76 : x
  2. Step 2: Convert to fraction form
    15,227/22,850.10 = 5,992.76/x
  3. Step 3: Cross multiply
    15,227x = 22,850.10 × 5,992.76
  4. Step 4: Simplify right side
    15,227x = 136,935,165.28
  5. Step 5: Solve for x
    x = 136,935,165.28/15,227
  6. Step 6: Final answer
    x = 8,992.92

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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.