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Finding the Fourth Proportional to 22,952.96, 31,675.66 and 12,882.16

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Solution

The fourth proportional to 22,952.96, 31,675.66 and 12,882.16 is: 17,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.96 : 31,675.66 = 12,882.16 : x
  2. Step 2: Convert to fraction form
    22,952.96/31,675.66 = 12,882.16/x
  3. Step 3: Cross multiply
    22,952.96x = 31,675.66 × 12,882.16
  4. Step 4: Simplify right side
    22,952.96x = 408,051,016.70
  5. Step 5: Solve for x
    x = 408,051,016.70/22,952.96
  6. Step 6: Final answer
    x = 17,777.71

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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.