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Finding the Fourth Proportional to 12,539.36, 18,809.08 and 5,142.56

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Solution

The fourth proportional to 12,539.36, 18,809.08 and 5,142.56 is: 7,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.36 : 18,809.08 = 5,142.56 : x
  2. Step 2: Convert to fraction form
    12,539.36/18,809.08 = 5,142.56/x
  3. Step 3: Cross multiply
    12,539.36x = 18,809.08 × 5,142.56
  4. Step 4: Simplify right side
    12,539.36x = 96,726,822.44
  5. Step 5: Solve for x
    x = 96,726,822.44/12,539.36
  6. Step 6: Final answer
    x = 7,713.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.