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Finding the Fourth Proportional to 11,564.48, 17,305.68 and 9,082.22

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Solution

The fourth proportional to 11,564.48, 17,305.68 and 9,082.22 is: 13,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.48 : 17,305.68 = 9,082.22 : x
  2. Step 2: Convert to fraction form
    11,564.48/17,305.68 = 9,082.22/x
  3. Step 3: Cross multiply
    11,564.48x = 17,305.68 × 9,082.22
  4. Step 4: Simplify right side
    11,564.48x = 157,173,993.01
  5. Step 5: Solve for x
    x = 157,173,993.01/11,564.48
  6. Step 6: Final answer
    x = 13,591.10

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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.