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Finding the Fourth Proportional to 22,211.29, 33,312.60 and 6,415.21

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Solution

The fourth proportional to 22,211.29, 33,312.60 and 6,415.21 is: 9,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211.29 : 33,312.60 = 6,415.21 : x
  2. Step 2: Convert to fraction form
    22,211.29/33,312.60 = 6,415.21/x
  3. Step 3: Cross multiply
    22,211.29x = 33,312.60 × 6,415.21
  4. Step 4: Simplify right side
    22,211.29x = 213,707,324.65
  5. Step 5: Solve for x
    x = 213,707,324.65/22,211.29
  6. Step 6: Final answer
    x = 9,621.56

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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.