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Finding the Fourth Proportional to 24,659, 36,993.38 and 8,017.96

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Solution

The fourth proportional to 24,659, 36,993.38 and 8,017.96 is: 12,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659 : 36,993.38 = 8,017.96 : x
  2. Step 2: Convert to fraction form
    24,659/36,993.38 = 8,017.96/x
  3. Step 3: Cross multiply
    24,659x = 36,993.38 × 8,017.96
  4. Step 4: Simplify right side
    24,659x = 296,611,441.10
  5. Step 5: Solve for x
    x = 296,611,441.10/24,659
  6. Step 6: Final answer
    x = 12,028.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.