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Finding the Fourth Proportional to 22,384.37, 33,580.38 and 9,229.55

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Solution

The fourth proportional to 22,384.37, 33,580.38 and 9,229.55 is: 13,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.37 : 33,580.38 = 9,229.55 : x
  2. Step 2: Convert to fraction form
    22,384.37/33,580.38 = 9,229.55/x
  3. Step 3: Cross multiply
    22,384.37x = 33,580.38 × 9,229.55
  4. Step 4: Simplify right side
    22,384.37x = 309,931,796.23
  5. Step 5: Solve for x
    x = 309,931,796.23/22,384.37
  6. Step 6: Final answer
    x = 13,845.90

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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.