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Finding the Fourth Proportional to 16,119.36, 22,245.84 and 9,830.88

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Solution

The fourth proportional to 16,119.36, 22,245.84 and 9,830.88 is: 13,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.36 : 22,245.84 = 9,830.88 : x
  2. Step 2: Convert to fraction form
    16,119.36/22,245.84 = 9,830.88/x
  3. Step 3: Cross multiply
    16,119.36x = 22,245.84 × 9,830.88
  4. Step 4: Simplify right side
    16,119.36x = 218,696,183.54
  5. Step 5: Solve for x
    x = 218,696,183.54/16,119.36
  6. Step 6: Final answer
    x = 13,567.30

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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.