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Finding the Fourth Proportional to 12,731, 17,568.90 and 7,142.12

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Solution

The fourth proportional to 12,731, 17,568.90 and 7,142.12 is: 9,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731 : 17,568.90 = 7,142.12 : x
  2. Step 2: Convert to fraction form
    12,731/17,568.90 = 7,142.12/x
  3. Step 3: Cross multiply
    12,731x = 17,568.90 × 7,142.12
  4. Step 4: Simplify right side
    12,731x = 125,479,192.07
  5. Step 5: Solve for x
    x = 125,479,192.07/12,731
  6. Step 6: Final answer
    x = 9,856.19

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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.