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Finding the Fourth Proportional to 27,465.84, 41,198.40 and 6,689.52

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Solution

The fourth proportional to 27,465.84, 41,198.40 and 6,689.52 is: 10,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.84 : 41,198.40 = 6,689.52 : x
  2. Step 2: Convert to fraction form
    27,465.84/41,198.40 = 6,689.52/x
  3. Step 3: Cross multiply
    27,465.84x = 41,198.40 × 6,689.52
  4. Step 4: Simplify right side
    27,465.84x = 275,597,520.77
  5. Step 5: Solve for x
    x = 275,597,520.77/27,465.84
  6. Step 6: Final answer
    x = 10,034.19

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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.