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Finding the Fourth Proportional to 22,422.72, 33,624.32 and 7,627.64

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Solution

The fourth proportional to 22,422.72, 33,624.32 and 7,627.64 is: 11,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.72 : 33,624.32 = 7,627.64 : x
  2. Step 2: Convert to fraction form
    22,422.72/33,624.32 = 7,627.64/x
  3. Step 3: Cross multiply
    22,422.72x = 33,624.32 × 7,627.64
  4. Step 4: Simplify right side
    22,422.72x = 256,474,208.20
  5. Step 5: Solve for x
    x = 256,474,208.20/22,422.72
  6. Step 6: Final answer
    x = 11,438.14

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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.