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Finding the Fourth Proportional to 19,883.20, 29,798.88 and 8,183.20

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Solution

The fourth proportional to 19,883.20, 29,798.88 and 8,183.20 is: 12,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.20 : 29,798.88 = 8,183.20 : x
  2. Step 2: Convert to fraction form
    19,883.20/29,798.88 = 8,183.20/x
  3. Step 3: Cross multiply
    19,883.20x = 29,798.88 × 8,183.20
  4. Step 4: Simplify right side
    19,883.20x = 243,850,194.82
  5. Step 5: Solve for x
    x = 243,850,194.82/19,883.20
  6. Step 6: Final answer
    x = 12,264.13

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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.