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Finding the Fourth Proportional to 13,009.16, 17,952.58 and 7,040.82

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Solution

The fourth proportional to 13,009.16, 17,952.58 and 7,040.82 is: 9,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.16 : 17,952.58 = 7,040.82 : x
  2. Step 2: Convert to fraction form
    13,009.16/17,952.58 = 7,040.82/x
  3. Step 3: Cross multiply
    13,009.16x = 17,952.58 × 7,040.82
  4. Step 4: Simplify right side
    13,009.16x = 126,400,884.32
  5. Step 5: Solve for x
    x = 126,400,884.32/13,009.16
  6. Step 6: Final answer
    x = 9,716.30

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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.