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Finding the Fourth Proportional to 21,205.52, 31,793.64 and 14,187.92

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Solution

The fourth proportional to 21,205.52, 31,793.64 and 14,187.92 is: 21,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.52 : 31,793.64 = 14,187.92 : x
  2. Step 2: Convert to fraction form
    21,205.52/31,793.64 = 14,187.92/x
  3. Step 3: Cross multiply
    21,205.52x = 31,793.64 × 14,187.92
  4. Step 4: Simplify right side
    21,205.52x = 451,085,620.83
  5. Step 5: Solve for x
    x = 451,085,620.83/21,205.52
  6. Step 6: Final answer
    x = 21,272.08

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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.