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Finding the Fourth Proportional to 20,695.58, 31,047.46 and 8,221.48

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Solution

The fourth proportional to 20,695.58, 31,047.46 and 8,221.48 is: 12,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.58 : 31,047.46 = 8,221.48 : x
  2. Step 2: Convert to fraction form
    20,695.58/31,047.46 = 8,221.48/x
  3. Step 3: Cross multiply
    20,695.58x = 31,047.46 × 8,221.48
  4. Step 4: Simplify right side
    20,695.58x = 255,256,071.44
  5. Step 5: Solve for x
    x = 255,256,071.44/20,695.58
  6. Step 6: Final answer
    x = 12,333.84

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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.