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Finding the Fourth Proportional to 24,650.35, 36,980.93 and 8,012.14

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Solution

The fourth proportional to 24,650.35, 36,980.93 and 8,012.14 is: 12,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.35 : 36,980.93 = 8,012.14 : x
  2. Step 2: Convert to fraction form
    24,650.35/36,980.93 = 8,012.14/x
  3. Step 3: Cross multiply
    24,650.35x = 36,980.93 × 8,012.14
  4. Step 4: Simplify right side
    24,650.35x = 296,296,388.49
  5. Step 5: Solve for x
    x = 296,296,388.49/24,650.35
  6. Step 6: Final answer
    x = 12,019.97

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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.