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Finding the Fourth Proportional to 22,954.84, 31,677.54 and 12,883.26

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Solution

The fourth proportional to 22,954.84, 31,677.54 and 12,883.26 is: 17,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.84 : 31,677.54 = 12,883.26 : x
  2. Step 2: Convert to fraction form
    22,954.84/31,677.54 = 12,883.26/x
  3. Step 3: Cross multiply
    22,954.84x = 31,677.54 × 12,883.26
  4. Step 4: Simplify right side
    22,954.84x = 408,109,983.98
  5. Step 5: Solve for x
    x = 408,109,983.98/22,954.84
  6. Step 6: Final answer
    x = 17,778.82

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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.