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Finding the Fourth Proportional to 16,205.39, 24,308.09 and 5,112.95

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Solution

The fourth proportional to 16,205.39, 24,308.09 and 5,112.95 is: 7,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.39 : 24,308.09 = 5,112.95 : x
  2. Step 2: Convert to fraction form
    16,205.39/24,308.09 = 5,112.95/x
  3. Step 3: Cross multiply
    16,205.39x = 24,308.09 × 5,112.95
  4. Step 4: Simplify right side
    16,205.39x = 124,286,003.58
  5. Step 5: Solve for x
    x = 124,286,003.58/16,205.39
  6. Step 6: Final answer
    x = 7,669.42

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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.