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Finding the Fourth Proportional to 19,892.80, 29,803.20 and 9,481.60

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Solution

The fourth proportional to 19,892.80, 29,803.20 and 9,481.60 is: 14,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.80 : 29,803.20 = 9,481.60 : x
  2. Step 2: Convert to fraction form
    19,892.80/29,803.20 = 9,481.60/x
  3. Step 3: Cross multiply
    19,892.80x = 29,803.20 × 9,481.60
  4. Step 4: Simplify right side
    19,892.80x = 282,582,021.12
  5. Step 5: Solve for x
    x = 282,582,021.12/19,892.80
  6. Step 6: Final answer
    x = 14,205.24

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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.