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Finding the Fourth Proportional to 24,196.26, 36,295.74 and 7,558.59

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Solution

The fourth proportional to 24,196.26, 36,295.74 and 7,558.59 is: 11,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.26 : 36,295.74 = 7,558.59 : x
  2. Step 2: Convert to fraction form
    24,196.26/36,295.74 = 7,558.59/x
  3. Step 3: Cross multiply
    24,196.26x = 36,295.74 × 7,558.59
  4. Step 4: Simplify right side
    24,196.26x = 274,344,617.41
  5. Step 5: Solve for x
    x = 274,344,617.41/24,196.26
  6. Step 6: Final answer
    x = 11,338.31

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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.