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Finding the Fourth Proportional to 23,010.33, 31,769.95 and 16,961.30

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Solution

The fourth proportional to 23,010.33, 31,769.95 and 16,961.30 is: 23,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.33 : 31,769.95 = 16,961.30 : x
  2. Step 2: Convert to fraction form
    23,010.33/31,769.95 = 16,961.30/x
  3. Step 3: Cross multiply
    23,010.33x = 31,769.95 × 16,961.30
  4. Step 4: Simplify right side
    23,010.33x = 538,859,652.94
  5. Step 5: Solve for x
    x = 538,859,652.94/23,010.33
  6. Step 6: Final answer
    x = 23,418.16

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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.