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Finding the Fourth Proportional to 22,331.76, 33,502.50 and 7,540.05

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Solution

The fourth proportional to 22,331.76, 33,502.50 and 7,540.05 is: 11,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.76 : 33,502.50 = 7,540.05 : x
  2. Step 2: Convert to fraction form
    22,331.76/33,502.50 = 7,540.05/x
  3. Step 3: Cross multiply
    22,331.76x = 33,502.50 × 7,540.05
  4. Step 4: Simplify right side
    22,331.76x = 252,610,525.13
  5. Step 5: Solve for x
    x = 252,610,525.13/22,331.76
  6. Step 6: Final answer
    x = 11,311.72

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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.