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Finding the Fourth Proportional to 20,809.83, 31,217.85 and 7,661.21

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Solution

The fourth proportional to 20,809.83, 31,217.85 and 7,661.21 is: 11,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.83 : 31,217.85 = 7,661.21 : x
  2. Step 2: Convert to fraction form
    20,809.83/31,217.85 = 7,661.21/x
  3. Step 3: Cross multiply
    20,809.83x = 31,217.85 × 7,661.21
  4. Step 4: Simplify right side
    20,809.83x = 239,166,348.51
  5. Step 5: Solve for x
    x = 239,166,348.51/20,809.83
  6. Step 6: Final answer
    x = 11,492.95

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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.