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Finding the Fourth Proportional to 27,538.32, 41,306.58 and 8,818.14

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Solution

The fourth proportional to 27,538.32, 41,306.58 and 8,818.14 is: 13,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.32 : 41,306.58 = 8,818.14 : x
  2. Step 2: Convert to fraction form
    27,538.32/41,306.58 = 8,818.14/x
  3. Step 3: Cross multiply
    27,538.32x = 41,306.58 × 8,818.14
  4. Step 4: Simplify right side
    27,538.32x = 364,247,205.36
  5. Step 5: Solve for x
    x = 364,247,205.36/27,538.32
  6. Step 6: Final answer
    x = 13,226.92

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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.