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Finding the Fourth Proportional to 22,968.30, 31,694.31 and 12,895.95

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Solution

The fourth proportional to 22,968.30, 31,694.31 and 12,895.95 is: 17,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.30 : 31,694.31 = 12,895.95 : x
  2. Step 2: Convert to fraction form
    22,968.30/31,694.31 = 12,895.95/x
  3. Step 3: Cross multiply
    22,968.30x = 31,694.31 × 12,895.95
  4. Step 4: Simplify right side
    22,968.30x = 408,728,237.04
  5. Step 5: Solve for x
    x = 408,728,237.04/22,968.30
  6. Step 6: Final answer
    x = 17,795.32

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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.