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Finding the Fourth Proportional to 13,009.24, 17,952.61 and 7,040.78

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Solution

The fourth proportional to 13,009.24, 17,952.61 and 7,040.78 is: 9,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.24 : 17,952.61 = 7,040.78 : x
  2. Step 2: Convert to fraction form
    13,009.24/17,952.61 = 7,040.78/x
  3. Step 3: Cross multiply
    13,009.24x = 17,952.61 × 7,040.78
  4. Step 4: Simplify right side
    13,009.24x = 126,400,377.44
  5. Step 5: Solve for x
    x = 126,400,377.44/13,009.24
  6. Step 6: Final answer
    x = 9,716.20

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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.