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Finding the Fourth Proportional to 12,836.20, 17,715.14 and 8,059.56

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Solution

The fourth proportional to 12,836.20, 17,715.14 and 8,059.56 is: 11,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.20 : 17,715.14 = 8,059.56 : x
  2. Step 2: Convert to fraction form
    12,836.20/17,715.14 = 8,059.56/x
  3. Step 3: Cross multiply
    12,836.20x = 17,715.14 × 8,059.56
  4. Step 4: Simplify right side
    12,836.20x = 142,776,233.74
  5. Step 5: Solve for x
    x = 142,776,233.74/12,836.20
  6. Step 6: Final answer
    x = 11,122.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.