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Finding the Fourth Proportional to 21,211.80, 31,805.57 and 8,740.43

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Solution

The fourth proportional to 21,211.80, 31,805.57 and 8,740.43 is: 13,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.80 : 31,805.57 = 8,740.43 : x
  2. Step 2: Convert to fraction form
    21,211.80/31,805.57 = 8,740.43/x
  3. Step 3: Cross multiply
    21,211.80x = 31,805.57 × 8,740.43
  4. Step 4: Simplify right side
    21,211.80x = 277,994,358.20
  5. Step 5: Solve for x
    x = 277,994,358.20/21,211.80
  6. Step 6: Final answer
    x = 13,105.65

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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.