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Finding the Fourth Proportional to 21,982.50, 30,335.85 and 12,046.50

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Solution

The fourth proportional to 21,982.50, 30,335.85 and 12,046.50 is: 16,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.50 : 30,335.85 = 12,046.50 : x
  2. Step 2: Convert to fraction form
    21,982.50/30,335.85 = 12,046.50/x
  3. Step 3: Cross multiply
    21,982.50x = 30,335.85 × 12,046.50
  4. Step 4: Simplify right side
    21,982.50x = 365,440,817.03
  5. Step 5: Solve for x
    x = 365,440,817.03/21,982.50
  6. Step 6: Final answer
    x = 16,624.17

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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.