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Finding the Fourth Proportional to 12,527.22, 17,279.97 and 8,278.32

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Solution

The fourth proportional to 12,527.22, 17,279.97 and 8,278.32 is: 11,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.22 : 17,279.97 = 8,278.32 : x
  2. Step 2: Convert to fraction form
    12,527.22/17,279.97 = 8,278.32/x
  3. Step 3: Cross multiply
    12,527.22x = 17,279.97 × 8,278.32
  4. Step 4: Simplify right side
    12,527.22x = 143,049,121.25
  5. Step 5: Solve for x
    x = 143,049,121.25/12,527.22
  6. Step 6: Final answer
    x = 11,419.06

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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.