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Finding the Fourth Proportional to 23,932.50, 33,026.85 and 13,996.50

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Solution

The fourth proportional to 23,932.50, 33,026.85 and 13,996.50 is: 19,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.50 : 33,026.85 = 13,996.50 : x
  2. Step 2: Convert to fraction form
    23,932.50/33,026.85 = 13,996.50/x
  3. Step 3: Cross multiply
    23,932.50x = 33,026.85 × 13,996.50
  4. Step 4: Simplify right side
    23,932.50x = 462,260,306.03
  5. Step 5: Solve for x
    x = 462,260,306.03/23,932.50
  6. Step 6: Final answer
    x = 19,315.17

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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.