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Finding the Fourth Proportional to 21,189.94, 31,793.26 and 8,045.80

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Solution

The fourth proportional to 21,189.94, 31,793.26 and 8,045.80 is: 12,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.94 : 31,793.26 = 8,045.80 : x
  2. Step 2: Convert to fraction form
    21,189.94/31,793.26 = 8,045.80/x
  3. Step 3: Cross multiply
    21,189.94x = 31,793.26 × 8,045.80
  4. Step 4: Simplify right side
    21,189.94x = 255,802,211.31
  5. Step 5: Solve for x
    x = 255,802,211.31/21,189.94
  6. Step 6: Final answer
    x = 12,071.87

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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.