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Finding the Fourth Proportional to 21,536.64, 32,287.68 and 8,208.96

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Solution

The fourth proportional to 21,536.64, 32,287.68 and 8,208.96 is: 12,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.64 : 32,287.68 = 8,208.96 : x
  2. Step 2: Convert to fraction form
    21,536.64/32,287.68 = 8,208.96/x
  3. Step 3: Cross multiply
    21,536.64x = 32,287.68 × 8,208.96
  4. Step 4: Simplify right side
    21,536.64x = 265,048,273.61
  5. Step 5: Solve for x
    x = 265,048,273.61/21,536.64
  6. Step 6: Final answer
    x = 12,306.85

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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.