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Finding the Fourth Proportional to 18,511.10, 27,758.55 and 7,414.10

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Solution

The fourth proportional to 18,511.10, 27,758.55 and 7,414.10 is: 11,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.10 : 27,758.55 = 7,414.10 : x
  2. Step 2: Convert to fraction form
    18,511.10/27,758.55 = 7,414.10/x
  3. Step 3: Cross multiply
    18,511.10x = 27,758.55 × 7,414.10
  4. Step 4: Simplify right side
    18,511.10x = 205,804,665.56
  5. Step 5: Solve for x
    x = 205,804,665.56/18,511.10
  6. Step 6: Final answer
    x = 11,117.91

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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.