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Finding the Fourth Proportional to 24,011.14, 36,020.94 and 8,212.46

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Solution

The fourth proportional to 24,011.14, 36,020.94 and 8,212.46 is: 12,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.14 : 36,020.94 = 8,212.46 : x
  2. Step 2: Convert to fraction form
    24,011.14/36,020.94 = 8,212.46/x
  3. Step 3: Cross multiply
    24,011.14x = 36,020.94 × 8,212.46
  4. Step 4: Simplify right side
    24,011.14x = 295,820,520.63
  5. Step 5: Solve for x
    x = 295,820,520.63/24,011.14
  6. Step 6: Final answer
    x = 12,320.14

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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.