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Finding the Fourth Proportional to 22,151.15, 33,230.92 and 7,162.30

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Solution

The fourth proportional to 22,151.15, 33,230.92 and 7,162.30 is: 10,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.15 : 33,230.92 = 7,162.30 : x
  2. Step 2: Convert to fraction form
    22,151.15/33,230.92 = 7,162.30/x
  3. Step 3: Cross multiply
    22,151.15x = 33,230.92 × 7,162.30
  4. Step 4: Simplify right side
    22,151.15x = 238,009,818.32
  5. Step 5: Solve for x
    x = 238,009,818.32/22,151.15
  6. Step 6: Final answer
    x = 10,744.81

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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.