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Finding the Fourth Proportional to 22,832.88, 31,509.44 and 12,896.88

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Solution

The fourth proportional to 22,832.88, 31,509.44 and 12,896.88 is: 17,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.88 : 31,509.44 = 12,896.88 : x
  2. Step 2: Convert to fraction form
    22,832.88/31,509.44 = 12,896.88/x
  3. Step 3: Cross multiply
    22,832.88x = 31,509.44 × 12,896.88
  4. Step 4: Simplify right side
    22,832.88x = 406,373,466.55
  5. Step 5: Solve for x
    x = 406,373,466.55/22,832.88
  6. Step 6: Final answer
    x = 17,797.73

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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.