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Finding the Fourth Proportional to 24,012.12, 36,021.78 and 8,428.50

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Solution

The fourth proportional to 24,012.12, 36,021.78 and 8,428.50 is: 12,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.12 : 36,021.78 = 8,428.50 : x
  2. Step 2: Convert to fraction form
    24,012.12/36,021.78 = 8,428.50/x
  3. Step 3: Cross multiply
    24,012.12x = 36,021.78 × 8,428.50
  4. Step 4: Simplify right side
    24,012.12x = 303,609,572.73
  5. Step 5: Solve for x
    x = 303,609,572.73/24,012.12
  6. Step 6: Final answer
    x = 12,644.01

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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.