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Finding the Fourth Proportional to 20,808.21, 31,210.56 and 8,961.51

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Solution

The fourth proportional to 20,808.21, 31,210.56 and 8,961.51 is: 13,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.21 : 31,210.56 = 8,961.51 : x
  2. Step 2: Convert to fraction form
    20,808.21/31,210.56 = 8,961.51/x
  3. Step 3: Cross multiply
    20,808.21x = 31,210.56 × 8,961.51
  4. Step 4: Simplify right side
    20,808.21x = 279,693,745.55
  5. Step 5: Solve for x
    x = 279,693,745.55/20,808.21
  6. Step 6: Final answer
    x = 13,441.51

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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.