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Finding the Fourth Proportional to 23,033.50, 31,786.36 and 12,962.11

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Solution

The fourth proportional to 23,033.50, 31,786.36 and 12,962.11 is: 17,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.50 : 31,786.36 = 12,962.11 : x
  2. Step 2: Convert to fraction form
    23,033.50/31,786.36 = 12,962.11/x
  3. Step 3: Cross multiply
    23,033.50x = 31,786.36 × 12,962.11
  4. Step 4: Simplify right side
    23,033.50x = 412,018,294.82
  5. Step 5: Solve for x
    x = 412,018,294.82/23,033.50
  6. Step 6: Final answer
    x = 17,887.78

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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.