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Finding the Fourth Proportional to 22,782.82, 34,174.02 and 7,200.45

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Solution

The fourth proportional to 22,782.82, 34,174.02 and 7,200.45 is: 10,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.82 : 34,174.02 = 7,200.45 : x
  2. Step 2: Convert to fraction form
    22,782.82/34,174.02 = 7,200.45/x
  3. Step 3: Cross multiply
    22,782.82x = 34,174.02 × 7,200.45
  4. Step 4: Simplify right side
    22,782.82x = 246,068,322.31
  5. Step 5: Solve for x
    x = 246,068,322.31/22,782.82
  6. Step 6: Final answer
    x = 10,800.61

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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.