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Finding the Fourth Proportional to 20,821.70, 31,182.50 and 11,910.02

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Solution

The fourth proportional to 20,821.70, 31,182.50 and 11,910.02 is: 17,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.70 : 31,182.50 = 11,910.02 : x
  2. Step 2: Convert to fraction form
    20,821.70/31,182.50 = 11,910.02/x
  3. Step 3: Cross multiply
    20,821.70x = 31,182.50 × 11,910.02
  4. Step 4: Simplify right side
    20,821.70x = 371,383,983.19
  5. Step 5: Solve for x
    x = 371,383,983.19/20,821.70
  6. Step 6: Final answer
    x = 17,836.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.