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Finding the Fourth Proportional to 13,029.38, 17,989.44 and 8,320.04

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Solution

The fourth proportional to 13,029.38, 17,989.44 and 8,320.04 is: 11,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.38 : 17,989.44 = 8,320.04 : x
  2. Step 2: Convert to fraction form
    13,029.38/17,989.44 = 8,320.04/x
  3. Step 3: Cross multiply
    13,029.38x = 17,989.44 × 8,320.04
  4. Step 4: Simplify right side
    13,029.38x = 149,672,860.38
  5. Step 5: Solve for x
    x = 149,672,860.38/13,029.38
  6. Step 6: Final answer
    x = 11,487.34

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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.