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Finding the Fourth Proportional to 11,114.66, 16,648.23 and 8,997.14

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Solution

The fourth proportional to 11,114.66, 16,648.23 and 8,997.14 is: 13,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.66 : 16,648.23 = 8,997.14 : x
  2. Step 2: Convert to fraction form
    11,114.66/16,648.23 = 8,997.14/x
  3. Step 3: Cross multiply
    11,114.66x = 16,648.23 × 8,997.14
  4. Step 4: Simplify right side
    11,114.66x = 149,786,401.51
  5. Step 5: Solve for x
    x = 149,786,401.51/11,114.66
  6. Step 6: Final answer
    x = 13,476.47

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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.