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Finding the Fourth Proportional to 12,867.36, 17,757.27 and 7,202.06

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Solution

The fourth proportional to 12,867.36, 17,757.27 and 7,202.06 is: 9,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.36 : 17,757.27 = 7,202.06 : x
  2. Step 2: Convert to fraction form
    12,867.36/17,757.27 = 7,202.06/x
  3. Step 3: Cross multiply
    12,867.36x = 17,757.27 × 7,202.06
  4. Step 4: Simplify right side
    12,867.36x = 127,888,923.98
  5. Step 5: Solve for x
    x = 127,888,923.98/12,867.36
  6. Step 6: Final answer
    x = 9,939.02

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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.