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Finding the Fourth Proportional to 31,010.04, 42,793.56 and 16,863

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Solution

The fourth proportional to 31,010.04, 42,793.56 and 16,863 is: 23,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.04 : 42,793.56 = 16,863 : x
  2. Step 2: Convert to fraction form
    31,010.04/42,793.56 = 16,863/x
  3. Step 3: Cross multiply
    31,010.04x = 42,793.56 × 16,863
  4. Step 4: Simplify right side
    31,010.04x = 721,627,802.28
  5. Step 5: Solve for x
    x = 721,627,802.28/31,010.04
  6. Step 6: Final answer
    x = 23,270.78

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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.