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Finding the Fourth Proportional to 12,708.74, 17,539.06 and 8,175.47

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Solution

The fourth proportional to 12,708.74, 17,539.06 and 8,175.47 is: 11,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.74 : 17,539.06 = 8,175.47 : x
  2. Step 2: Convert to fraction form
    12,708.74/17,539.06 = 8,175.47/x
  3. Step 3: Cross multiply
    12,708.74x = 17,539.06 × 8,175.47
  4. Step 4: Simplify right side
    12,708.74x = 143,390,082.27
  5. Step 5: Solve for x
    x = 143,390,082.27/12,708.74
  6. Step 6: Final answer
    x = 11,282.79

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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.