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Finding the Fourth Proportional to 24,651.42, 36,982.98 and 8,011.46

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Solution

The fourth proportional to 24,651.42, 36,982.98 and 8,011.46 is: 12,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.42 : 36,982.98 = 8,011.46 : x
  2. Step 2: Convert to fraction form
    24,651.42/36,982.98 = 8,011.46/x
  3. Step 3: Cross multiply
    24,651.42x = 36,982.98 × 8,011.46
  4. Step 4: Simplify right side
    24,651.42x = 296,287,664.95
  5. Step 5: Solve for x
    x = 296,287,664.95/24,651.42
  6. Step 6: Final answer
    x = 12,019.09

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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.