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Finding the Fourth Proportional to 18,222.30, 27,322.92 and 7,699.86

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Solution

The fourth proportional to 18,222.30, 27,322.92 and 7,699.86 is: 11,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.30 : 27,322.92 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    18,222.30/27,322.92 = 7,699.86/x
  3. Step 3: Cross multiply
    18,222.30x = 27,322.92 × 7,699.86
  4. Step 4: Simplify right side
    18,222.30x = 210,382,658.79
  5. Step 5: Solve for x
    x = 210,382,658.79/18,222.30
  6. Step 6: Final answer
    x = 11,545.34

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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.