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Finding the Fourth Proportional to 22,147.04, 33,224.84 and 7,158.20

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Solution

The fourth proportional to 22,147.04, 33,224.84 and 7,158.20 is: 10,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.04 : 33,224.84 = 7,158.20 : x
  2. Step 2: Convert to fraction form
    22,147.04/33,224.84 = 7,158.20/x
  3. Step 3: Cross multiply
    22,147.04x = 33,224.84 × 7,158.20
  4. Step 4: Simplify right side
    22,147.04x = 237,829,847.77
  5. Step 5: Solve for x
    x = 237,829,847.77/22,147.04
  6. Step 6: Final answer
    x = 10,738.68

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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.