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Finding the Fourth Proportional to 11,222.34, 16,838.37 and 6,022.14

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Solution

The fourth proportional to 11,222.34, 16,838.37 and 6,022.14 is: 9,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.34 : 16,838.37 = 6,022.14 : x
  2. Step 2: Convert to fraction form
    11,222.34/16,838.37 = 6,022.14/x
  3. Step 3: Cross multiply
    11,222.34x = 16,838.37 × 6,022.14
  4. Step 4: Simplify right side
    11,222.34x = 101,403,021.51
  5. Step 5: Solve for x
    x = 101,403,021.51/11,222.34
  6. Step 6: Final answer
    x = 9,035.82

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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.