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Finding the Fourth Proportional to 11,099.80, 16,617.30 and 9,933.40

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Solution

The fourth proportional to 11,099.80, 16,617.30 and 9,933.40 is: 14,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.80 : 16,617.30 = 9,933.40 : x
  2. Step 2: Convert to fraction form
    11,099.80/16,617.30 = 9,933.40/x
  3. Step 3: Cross multiply
    11,099.80x = 16,617.30 × 9,933.40
  4. Step 4: Simplify right side
    11,099.80x = 165,066,287.82
  5. Step 5: Solve for x
    x = 165,066,287.82/11,099.80
  6. Step 6: Final answer
    x = 14,871.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.