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Finding the Fourth Proportional to 13,617.91, 18,793.38 and 7,952.57

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Solution

The fourth proportional to 13,617.91, 18,793.38 and 7,952.57 is: 10,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.91 : 18,793.38 = 7,952.57 : x
  2. Step 2: Convert to fraction form
    13,617.91/18,793.38 = 7,952.57/x
  3. Step 3: Cross multiply
    13,617.91x = 18,793.38 × 7,952.57
  4. Step 4: Simplify right side
    13,617.91x = 149,455,669.99
  5. Step 5: Solve for x
    x = 149,455,669.99/13,617.91
  6. Step 6: Final answer
    x = 10,974.93

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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.