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Finding the Fourth Proportional to 24,006.73, 36,015 and 8,435.29

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Solution

The fourth proportional to 24,006.73, 36,015 and 8,435.29 is: 12,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.73 : 36,015 = 8,435.29 : x
  2. Step 2: Convert to fraction form
    24,006.73/36,015 = 8,435.29/x
  3. Step 3: Cross multiply
    24,006.73x = 36,015 × 8,435.29
  4. Step 4: Simplify right side
    24,006.73x = 303,796,969.35
  5. Step 5: Solve for x
    x = 303,796,969.35/24,006.73
  6. Step 6: Final answer
    x = 12,654.66

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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.