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Finding the Fourth Proportional to 13,039.14, 17,993.69 and 7,932.76

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Solution

The fourth proportional to 13,039.14, 17,993.69 and 7,932.76 is: 10,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.14 : 17,993.69 = 7,932.76 : x
  2. Step 2: Convert to fraction form
    13,039.14/17,993.69 = 7,932.76/x
  3. Step 3: Cross multiply
    13,039.14x = 17,993.69 × 7,932.76
  4. Step 4: Simplify right side
    13,039.14x = 142,739,569.38
  5. Step 5: Solve for x
    x = 142,739,569.38/13,039.14
  6. Step 6: Final answer
    x = 10,947.01

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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.