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Finding the Fourth Proportional to 12,338.33, 17,027.96 and 7,301.75

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Solution

The fourth proportional to 12,338.33, 17,027.96 and 7,301.75 is: 10,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.33 : 17,027.96 = 7,301.75 : x
  2. Step 2: Convert to fraction form
    12,338.33/17,027.96 = 7,301.75/x
  3. Step 3: Cross multiply
    12,338.33x = 17,027.96 × 7,301.75
  4. Step 4: Simplify right side
    12,338.33x = 124,333,785.28
  5. Step 5: Solve for x
    x = 124,333,785.28/12,338.33
  6. Step 6: Final answer
    x = 10,077.04

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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.