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Finding the Fourth Proportional to 13,009.20, 17,952.74 and 7,040.87

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Solution

The fourth proportional to 13,009.20, 17,952.74 and 7,040.87 is: 9,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.20 : 17,952.74 = 7,040.87 : x
  2. Step 2: Convert to fraction form
    13,009.20/17,952.74 = 7,040.87/x
  3. Step 3: Cross multiply
    13,009.20x = 17,952.74 × 7,040.87
  4. Step 4: Simplify right side
    13,009.20x = 126,402,908.48
  5. Step 5: Solve for x
    x = 126,402,908.48/13,009.20
  6. Step 6: Final answer
    x = 9,716.42

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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.