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Finding the Fourth Proportional to 15,146.38, 22,724.43 and 6,822.82

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Solution

The fourth proportional to 15,146.38, 22,724.43 and 6,822.82 is: 10,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.38 : 22,724.43 = 6,822.82 : x
  2. Step 2: Convert to fraction form
    15,146.38/22,724.43 = 6,822.82/x
  3. Step 3: Cross multiply
    15,146.38x = 22,724.43 × 6,822.82
  4. Step 4: Simplify right side
    15,146.38x = 155,044,695.49
  5. Step 5: Solve for x
    x = 155,044,695.49/15,146.38
  6. Step 6: Final answer
    x = 10,236.42

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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.