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Finding the Fourth Proportional to 12,942.78, 19,414.17 and 6,013.50

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Solution

The fourth proportional to 12,942.78, 19,414.17 and 6,013.50 is: 9,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.78 : 19,414.17 = 6,013.50 : x
  2. Step 2: Convert to fraction form
    12,942.78/19,414.17 = 6,013.50/x
  3. Step 3: Cross multiply
    12,942.78x = 19,414.17 × 6,013.50
  4. Step 4: Simplify right side
    12,942.78x = 116,747,111.30
  5. Step 5: Solve for x
    x = 116,747,111.30/12,942.78
  6. Step 6: Final answer
    x = 9,020.25

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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.