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Finding the Fourth Proportional to 24,175, 36,260.82 and 8,379.58

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Solution

The fourth proportional to 24,175, 36,260.82 and 8,379.58 is: 12,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175 : 36,260.82 = 8,379.58 : x
  2. Step 2: Convert to fraction form
    24,175/36,260.82 = 8,379.58/x
  3. Step 3: Cross multiply
    24,175x = 36,260.82 × 8,379.58
  4. Step 4: Simplify right side
    24,175x = 303,850,442.06
  5. Step 5: Solve for x
    x = 303,850,442.06/24,175
  6. Step 6: Final answer
    x = 12,568.79

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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.