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Finding the Fourth Proportional to 11,649.23, 17,459.27 and 9,174.27

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Solution

The fourth proportional to 11,649.23, 17,459.27 and 9,174.27 is: 13,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.23 : 17,459.27 = 9,174.27 : x
  2. Step 2: Convert to fraction form
    11,649.23/17,459.27 = 9,174.27/x
  3. Step 3: Cross multiply
    11,649.23x = 17,459.27 × 9,174.27
  4. Step 4: Simplify right side
    11,649.23x = 160,176,011.11
  5. Step 5: Solve for x
    x = 160,176,011.11/11,649.23
  6. Step 6: Final answer
    x = 13,749.93

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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.