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Finding the Fourth Proportional to 20,802.87, 31,209.77 and 7,477.20

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Solution

The fourth proportional to 20,802.87, 31,209.77 and 7,477.20 is: 11,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.87 : 31,209.77 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    20,802.87/31,209.77 = 7,477.20/x
  3. Step 3: Cross multiply
    20,802.87x = 31,209.77 × 7,477.20
  4. Step 4: Simplify right side
    20,802.87x = 233,361,692.24
  5. Step 5: Solve for x
    x = 233,361,692.24/20,802.87
  6. Step 6: Final answer
    x = 11,217.76

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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.