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Finding the Fourth Proportional to 13,490.67, 18,628.87 and 8,463.53

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Solution

The fourth proportional to 13,490.67, 18,628.87 and 8,463.53 is: 11,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.67 : 18,628.87 = 8,463.53 : x
  2. Step 2: Convert to fraction form
    13,490.67/18,628.87 = 8,463.53/x
  3. Step 3: Cross multiply
    13,490.67x = 18,628.87 × 8,463.53
  4. Step 4: Simplify right side
    13,490.67x = 157,665,932.38
  5. Step 5: Solve for x
    x = 157,665,932.38/13,490.67
  6. Step 6: Final answer
    x = 11,687.04

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Why These Related Problems?

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