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Finding the Fourth Proportional to 12,817.86, 17,687.97 and 7,228.50

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Solution

The fourth proportional to 12,817.86, 17,687.97 and 7,228.50 is: 9,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.86 : 17,687.97 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    12,817.86/17,687.97 = 7,228.50/x
  3. Step 3: Cross multiply
    12,817.86x = 17,687.97 × 7,228.50
  4. Step 4: Simplify right side
    12,817.86x = 127,857,491.15
  5. Step 5: Solve for x
    x = 127,857,491.15/12,817.86
  6. Step 6: Final answer
    x = 9,974.95

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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.