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Finding the Fourth Proportional to 21,193.80, 31,778.70 and 8,046.60

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Solution

The fourth proportional to 21,193.80, 31,778.70 and 8,046.60 is: 12,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.80 : 31,778.70 = 8,046.60 : x
  2. Step 2: Convert to fraction form
    21,193.80/31,778.70 = 8,046.60/x
  3. Step 3: Cross multiply
    21,193.80x = 31,778.70 × 8,046.60
  4. Step 4: Simplify right side
    21,193.80x = 255,710,487.42
  5. Step 5: Solve for x
    x = 255,710,487.42/21,193.80
  6. Step 6: Final answer
    x = 12,065.34

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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.