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Finding the Fourth Proportional to 20,808.80, 31,213.20 and 7,661.60

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Solution

The fourth proportional to 20,808.80, 31,213.20 and 7,661.60 is: 11,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.80 : 31,213.20 = 7,661.60 : x
  2. Step 2: Convert to fraction form
    20,808.80/31,213.20 = 7,661.60/x
  3. Step 3: Cross multiply
    20,808.80x = 31,213.20 × 7,661.60
  4. Step 4: Simplify right side
    20,808.80x = 239,143,053.12
  5. Step 5: Solve for x
    x = 239,143,053.12/20,808.80
  6. Step 6: Final answer
    x = 11,492.40

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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.