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Finding the Fourth Proportional to 22,969.80, 31,696.38 and 12,897.45

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Solution

The fourth proportional to 22,969.80, 31,696.38 and 12,897.45 is: 17,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.80 : 31,696.38 = 12,897.45 : x
  2. Step 2: Convert to fraction form
    22,969.80/31,696.38 = 12,897.45/x
  3. Step 3: Cross multiply
    22,969.80x = 31,696.38 × 12,897.45
  4. Step 4: Simplify right side
    22,969.80x = 408,802,476.23
  5. Step 5: Solve for x
    x = 408,802,476.23/22,969.80
  6. Step 6: Final answer
    x = 17,797.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.