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Finding the Fourth Proportional to 18,671.94, 28,012.26 and 8,284.50

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Solution

The fourth proportional to 18,671.94, 28,012.26 and 8,284.50 is: 12,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671.94 : 28,012.26 = 8,284.50 : x
  2. Step 2: Convert to fraction form
    18,671.94/28,012.26 = 8,284.50/x
  3. Step 3: Cross multiply
    18,671.94x = 28,012.26 × 8,284.50
  4. Step 4: Simplify right side
    18,671.94x = 232,067,567.97
  5. Step 5: Solve for x
    x = 232,067,567.97/18,671.94
  6. Step 6: Final answer
    x = 12,428.68

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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.