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Finding the Fourth Proportional to 23,033.49, 31,787.83 and 12,962.90

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Solution

The fourth proportional to 23,033.49, 31,787.83 and 12,962.90 is: 17,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.49 : 31,787.83 = 12,962.90 : x
  2. Step 2: Convert to fraction form
    23,033.49/31,787.83 = 12,962.90/x
  3. Step 3: Cross multiply
    23,033.49x = 31,787.83 × 12,962.90
  4. Step 4: Simplify right side
    23,033.49x = 412,062,461.51
  5. Step 5: Solve for x
    x = 412,062,461.51/23,033.49
  6. Step 6: Final answer
    x = 17,889.71

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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.