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Finding the Fourth Proportional to 24,200.35, 36,299.22 and 7,558.47

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Solution

The fourth proportional to 24,200.35, 36,299.22 and 7,558.47 is: 11,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.35 : 36,299.22 = 7,558.47 : x
  2. Step 2: Convert to fraction form
    24,200.35/36,299.22 = 7,558.47/x
  3. Step 3: Cross multiply
    24,200.35x = 36,299.22 × 7,558.47
  4. Step 4: Simplify right side
    24,200.35x = 274,366,537.05
  5. Step 5: Solve for x
    x = 274,366,537.05/24,200.35
  6. Step 6: Final answer
    x = 11,337.30

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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.