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Finding the Fourth Proportional to 24,021.82, 36,032.73 and 8,435.80

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Solution

The fourth proportional to 24,021.82, 36,032.73 and 8,435.80 is: 12,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021.82 : 36,032.73 = 8,435.80 : x
  2. Step 2: Convert to fraction form
    24,021.82/36,032.73 = 8,435.80/x
  3. Step 3: Cross multiply
    24,021.82x = 36,032.73 × 8,435.80
  4. Step 4: Simplify right side
    24,021.82x = 303,964,903.73
  5. Step 5: Solve for x
    x = 303,964,903.73/24,021.82
  6. Step 6: Final answer
    x = 12,653.70

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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.