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Finding the Fourth Proportional to 14,470.83, 19,969.20 and 8,183.34

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Solution

The fourth proportional to 14,470.83, 19,969.20 and 8,183.34 is: 11,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.83 : 19,969.20 = 8,183.34 : x
  2. Step 2: Convert to fraction form
    14,470.83/19,969.20 = 8,183.34/x
  3. Step 3: Cross multiply
    14,470.83x = 19,969.20 × 8,183.34
  4. Step 4: Simplify right side
    14,470.83x = 163,414,753.13
  5. Step 5: Solve for x
    x = 163,414,753.13/14,470.83
  6. Step 6: Final answer
    x = 11,292.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.