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Finding the Fourth Proportional to 21,211.32, 31,819.92 and 7,175.40

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Solution

The fourth proportional to 21,211.32, 31,819.92 and 7,175.40 is: 10,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.32 : 31,819.92 = 7,175.40 : x
  2. Step 2: Convert to fraction form
    21,211.32/31,819.92 = 7,175.40/x
  3. Step 3: Cross multiply
    21,211.32x = 31,819.92 × 7,175.40
  4. Step 4: Simplify right side
    21,211.32x = 228,320,653.97
  5. Step 5: Solve for x
    x = 228,320,653.97/21,211.32
  6. Step 6: Final answer
    x = 10,764.09

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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.