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Finding the Fourth Proportional to 22,967.29, 31,696.05 and 12,895.21

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Solution

The fourth proportional to 22,967.29, 31,696.05 and 12,895.21 is: 17,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.29 : 31,696.05 = 12,895.21 : x
  2. Step 2: Convert to fraction form
    22,967.29/31,696.05 = 12,895.21/x
  3. Step 3: Cross multiply
    22,967.29x = 31,696.05 × 12,895.21
  4. Step 4: Simplify right side
    22,967.29x = 408,727,220.92
  5. Step 5: Solve for x
    x = 408,727,220.92/22,967.29
  6. Step 6: Final answer
    x = 17,796.06

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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.