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Finding the Fourth Proportional to 22,968.99, 31,696.14 and 12,897.24

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Solution

The fourth proportional to 22,968.99, 31,696.14 and 12,897.24 is: 17,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.99 : 31,696.14 = 12,897.24 : x
  2. Step 2: Convert to fraction form
    22,968.99/31,696.14 = 12,897.24/x
  3. Step 3: Cross multiply
    22,968.99x = 31,696.14 × 12,897.24
  4. Step 4: Simplify right side
    22,968.99x = 408,792,724.65
  5. Step 5: Solve for x
    x = 408,792,724.65/22,968.99
  6. Step 6: Final answer
    x = 17,797.59

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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.