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Finding the Fourth Proportional to 12,950.71, 17,872.05 and 7,648.14

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Solution

The fourth proportional to 12,950.71, 17,872.05 and 7,648.14 is: 10,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.71 : 17,872.05 = 7,648.14 : x
  2. Step 2: Convert to fraction form
    12,950.71/17,872.05 = 7,648.14/x
  3. Step 3: Cross multiply
    12,950.71x = 17,872.05 × 7,648.14
  4. Step 4: Simplify right side
    12,950.71x = 136,687,902.25
  5. Step 5: Solve for x
    x = 136,687,902.25/12,950.71
  6. Step 6: Final answer
    x = 10,554.48

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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.