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Finding the Fourth Proportional to 22,969.30, 31,695.69 and 12,896.95

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Solution

The fourth proportional to 22,969.30, 31,695.69 and 12,896.95 is: 17,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.30 : 31,695.69 = 12,896.95 : x
  2. Step 2: Convert to fraction form
    22,969.30/31,695.69 = 12,896.95/x
  3. Step 3: Cross multiply
    22,969.30x = 31,695.69 × 12,896.95
  4. Step 4: Simplify right side
    22,969.30x = 408,777,729.15
  5. Step 5: Solve for x
    x = 408,777,729.15/22,969.30
  6. Step 6: Final answer
    x = 17,796.70

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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.