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Finding the Fourth Proportional to 31,016.36, 42,802.43 and 16,869.20

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Solution

The fourth proportional to 31,016.36, 42,802.43 and 16,869.20 is: 23,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.36 : 42,802.43 = 16,869.20 : x
  2. Step 2: Convert to fraction form
    31,016.36/42,802.43 = 16,869.20/x
  3. Step 3: Cross multiply
    31,016.36x = 42,802.43 × 16,869.20
  4. Step 4: Simplify right side
    31,016.36x = 722,042,453.80
  5. Step 5: Solve for x
    x = 722,042,453.80/31,016.36
  6. Step 6: Final answer
    x = 23,279.41

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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.