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Finding the Fourth Proportional to 12,577.68, 17,357.20 and 6,912.88

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Solution

The fourth proportional to 12,577.68, 17,357.20 and 6,912.88 is: 9,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.68 : 17,357.20 = 6,912.88 : x
  2. Step 2: Convert to fraction form
    12,577.68/17,357.20 = 6,912.88/x
  3. Step 3: Cross multiply
    12,577.68x = 17,357.20 × 6,912.88
  4. Step 4: Simplify right side
    12,577.68x = 119,988,240.74
  5. Step 5: Solve for x
    x = 119,988,240.74/12,577.68
  6. Step 6: Final answer
    x = 9,539.78

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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.