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Finding the Fourth Proportional to 21,112.32, 31,667.84 and 8,800

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Solution

The fourth proportional to 21,112.32, 31,667.84 and 8,800 is: 13,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.32 : 31,667.84 = 8,800 : x
  2. Step 2: Convert to fraction form
    21,112.32/31,667.84 = 8,800/x
  3. Step 3: Cross multiply
    21,112.32x = 31,667.84 × 8,800
  4. Step 4: Simplify right side
    21,112.32x = 278,676,992
  5. Step 5: Solve for x
    x = 278,676,992/21,112.32
  6. Step 6: Final answer
    x = 13,199.73

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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.