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Finding the Fourth Proportional to 11,649.14, 17,459.13 and 9,174.18

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Solution

The fourth proportional to 11,649.14, 17,459.13 and 9,174.18 is: 13,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.14 : 17,459.13 = 9,174.18 : x
  2. Step 2: Convert to fraction form
    11,649.14/17,459.13 = 9,174.18/x
  3. Step 3: Cross multiply
    11,649.14x = 17,459.13 × 9,174.18
  4. Step 4: Simplify right side
    11,649.14x = 160,173,232.33
  5. Step 5: Solve for x
    x = 160,173,232.33/11,649.14
  6. Step 6: Final answer
    x = 13,749.79

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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.