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Finding the Fourth Proportional to 12,836.66, 19,251.12 and 5,441

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Solution

The fourth proportional to 12,836.66, 19,251.12 and 5,441 is: 8,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.66 : 19,251.12 = 5,441 : x
  2. Step 2: Convert to fraction form
    12,836.66/19,251.12 = 5,441/x
  3. Step 3: Cross multiply
    12,836.66x = 19,251.12 × 5,441
  4. Step 4: Simplify right side
    12,836.66x = 104,745,343.92
  5. Step 5: Solve for x
    x = 104,745,343.92/12,836.66
  6. Step 6: Final answer
    x = 8,159.86

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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.