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Finding the Fourth Proportional to 11,023.14, 16,610.49 and 9,118.02

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Solution

The fourth proportional to 11,023.14, 16,610.49 and 9,118.02 is: 13,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.14 : 16,610.49 = 9,118.02 : x
  2. Step 2: Convert to fraction form
    11,023.14/16,610.49 = 9,118.02/x
  3. Step 3: Cross multiply
    11,023.14x = 16,610.49 × 9,118.02
  4. Step 4: Simplify right side
    11,023.14x = 151,454,780.03
  5. Step 5: Solve for x
    x = 151,454,780.03/11,023.14
  6. Step 6: Final answer
    x = 13,739.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.