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Finding the Fourth Proportional to 21,517.86, 29,696.97 and 13,024.65

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Solution

The fourth proportional to 21,517.86, 29,696.97 and 13,024.65 is: 17,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.86 : 29,696.97 = 13,024.65 : x
  2. Step 2: Convert to fraction form
    21,517.86/29,696.97 = 13,024.65/x
  3. Step 3: Cross multiply
    21,517.86x = 29,696.97 × 13,024.65
  4. Step 4: Simplify right side
    21,517.86x = 386,792,640.31
  5. Step 5: Solve for x
    x = 386,792,640.31/21,517.86
  6. Step 6: Final answer
    x = 17,975.42

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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.