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Finding the Fourth Proportional to 22,021.32, 33,034.92 and 6,438.72

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Solution

The fourth proportional to 22,021.32, 33,034.92 and 6,438.72 is: 9,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,021.32 : 33,034.92 = 6,438.72 : x
  2. Step 2: Convert to fraction form
    22,021.32/33,034.92 = 6,438.72/x
  3. Step 3: Cross multiply
    22,021.32x = 33,034.92 × 6,438.72
  4. Step 4: Simplify right side
    22,021.32x = 212,702,600.10
  5. Step 5: Solve for x
    x = 212,702,600.10/22,021.32
  6. Step 6: Final answer
    x = 9,658.94

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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.