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Finding the Fourth Proportional to 12,849.25, 17,732.08 and 7,544.15

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Solution

The fourth proportional to 12,849.25, 17,732.08 and 7,544.15 is: 10,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.25 : 17,732.08 = 7,544.15 : x
  2. Step 2: Convert to fraction form
    12,849.25/17,732.08 = 7,544.15/x
  3. Step 3: Cross multiply
    12,849.25x = 17,732.08 × 7,544.15
  4. Step 4: Simplify right side
    12,849.25x = 133,773,471.33
  5. Step 5: Solve for x
    x = 133,773,471.33/12,849.25
  6. Step 6: Final answer
    x = 10,410.99

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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.