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Finding the Fourth Proportional to 22,905.49, 31,611.42 and 12,836.17

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Solution

The fourth proportional to 22,905.49, 31,611.42 and 12,836.17 is: 17,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.49 : 31,611.42 = 12,836.17 : x
  2. Step 2: Convert to fraction form
    22,905.49/31,611.42 = 12,836.17/x
  3. Step 3: Cross multiply
    22,905.49x = 31,611.42 × 12,836.17
  4. Step 4: Simplify right side
    22,905.49x = 405,769,561.06
  5. Step 5: Solve for x
    x = 405,769,561.06/22,905.49
  6. Step 6: Final answer
    x = 17,714.95

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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.