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Finding the Fourth Proportional to 11,416.93, 17,101.59 and 9,183.72

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Solution

The fourth proportional to 11,416.93, 17,101.59 and 9,183.72 is: 13,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.93 : 17,101.59 = 9,183.72 : x
  2. Step 2: Convert to fraction form
    11,416.93/17,101.59 = 9,183.72/x
  3. Step 3: Cross multiply
    11,416.93x = 17,101.59 × 9,183.72
  4. Step 4: Simplify right side
    11,416.93x = 157,056,214.11
  5. Step 5: Solve for x
    x = 157,056,214.11/11,416.93
  6. Step 6: Final answer
    x = 13,756.43

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