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Finding the Fourth Proportional to 22,967.89, 31,695.57 and 12,896.48

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Solution

The fourth proportional to 22,967.89, 31,695.57 and 12,896.48 is: 17,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.89 : 31,695.57 = 12,896.48 : x
  2. Step 2: Convert to fraction form
    22,967.89/31,695.57 = 12,896.48/x
  3. Step 3: Cross multiply
    22,967.89x = 31,695.57 × 12,896.48
  4. Step 4: Simplify right side
    22,967.89x = 408,761,363.83
  5. Step 5: Solve for x
    x = 408,761,363.83/22,967.89
  6. Step 6: Final answer
    x = 17,797.08

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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.