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Finding the Fourth Proportional to 11,199.87, 16,739.37 and 9,783.18

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Solution

The fourth proportional to 11,199.87, 16,739.37 and 9,783.18 is: 14,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.87 : 16,739.37 = 9,783.18 : x
  2. Step 2: Convert to fraction form
    11,199.87/16,739.37 = 9,783.18/x
  3. Step 3: Cross multiply
    11,199.87x = 16,739.37 × 9,783.18
  4. Step 4: Simplify right side
    11,199.87x = 163,764,269.80
  5. Step 5: Solve for x
    x = 163,764,269.80/11,199.87
  6. Step 6: Final answer
    x = 14,621.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.