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Finding the Fourth Proportional to 22,951.74, 31,665.49 and 12,878.79

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Solution

The fourth proportional to 22,951.74, 31,665.49 and 12,878.79 is: 17,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.74 : 31,665.49 = 12,878.79 : x
  2. Step 2: Convert to fraction form
    22,951.74/31,665.49 = 12,878.79/x
  3. Step 3: Cross multiply
    22,951.74x = 31,665.49 × 12,878.79
  4. Step 4: Simplify right side
    22,951.74x = 407,813,195.96
  5. Step 5: Solve for x
    x = 407,813,195.96/22,951.74
  6. Step 6: Final answer
    x = 17,768.29

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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.