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Finding the Fourth Proportional to 12,219.72, 16,869.94 and 7,687.24

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Solution

The fourth proportional to 12,219.72, 16,869.94 and 7,687.24 is: 10,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.72 : 16,869.94 = 7,687.24 : x
  2. Step 2: Convert to fraction form
    12,219.72/16,869.94 = 7,687.24/x
  3. Step 3: Cross multiply
    12,219.72x = 16,869.94 × 7,687.24
  4. Step 4: Simplify right side
    12,219.72x = 129,683,277.57
  5. Step 5: Solve for x
    x = 129,683,277.57/12,219.72
  6. Step 6: Final answer
    x = 10,612.62

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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.