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Finding the Fourth Proportional to 24,907.82, 37,361.66 and 8,269.12

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Solution

The fourth proportional to 24,907.82, 37,361.66 and 8,269.12 is: 12,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.82 : 37,361.66 = 8,269.12 : x
  2. Step 2: Convert to fraction form
    24,907.82/37,361.66 = 8,269.12/x
  3. Step 3: Cross multiply
    24,907.82x = 37,361.66 × 8,269.12
  4. Step 4: Simplify right side
    24,907.82x = 308,947,863.13
  5. Step 5: Solve for x
    x = 308,947,863.13/24,907.82
  6. Step 6: Final answer
    x = 12,403.65

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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.