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Finding the Fourth Proportional to 12,527.72, 17,280.66 and 8,278.82

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Solution

The fourth proportional to 12,527.72, 17,280.66 and 8,278.82 is: 11,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.72 : 17,280.66 = 8,278.82 : x
  2. Step 2: Convert to fraction form
    12,527.72/17,280.66 = 8,278.82/x
  3. Step 3: Cross multiply
    12,527.72x = 17,280.66 × 8,278.82
  4. Step 4: Simplify right side
    12,527.72x = 143,063,473.62
  5. Step 5: Solve for x
    x = 143,063,473.62/12,527.72
  6. Step 6: Final answer
    x = 11,419.75

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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.