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Finding the Fourth Proportional to 22,963.29, 31,687.15 and 12,889.42

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Solution

The fourth proportional to 22,963.29, 31,687.15 and 12,889.42 is: 17,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.29 : 31,687.15 = 12,889.42 : x
  2. Step 2: Convert to fraction form
    22,963.29/31,687.15 = 12,889.42/x
  3. Step 3: Cross multiply
    22,963.29x = 31,687.15 × 12,889.42
  4. Step 4: Simplify right side
    22,963.29x = 408,428,873.51
  5. Step 5: Solve for x
    x = 408,428,873.51/22,963.29
  6. Step 6: Final answer
    x = 17,786.17

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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.