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Finding the Fourth Proportional to 27,675.68, 41,513.16 and 6,899.36

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Solution

The fourth proportional to 27,675.68, 41,513.16 and 6,899.36 is: 10,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.68 : 41,513.16 = 6,899.36 : x
  2. Step 2: Convert to fraction form
    27,675.68/41,513.16 = 6,899.36/x
  3. Step 3: Cross multiply
    27,675.68x = 41,513.16 × 6,899.36
  4. Step 4: Simplify right side
    27,675.68x = 286,414,235.58
  5. Step 5: Solve for x
    x = 286,414,235.58/27,675.68
  6. Step 6: Final answer
    x = 10,348.95

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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.