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Finding the Fourth Proportional to 21,739.46, 32,614.49 and 6,746.21

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Solution

The fourth proportional to 21,739.46, 32,614.49 and 6,746.21 is: 10,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,739.46 : 32,614.49 = 6,746.21 : x
  2. Step 2: Convert to fraction form
    21,739.46/32,614.49 = 6,746.21/x
  3. Step 3: Cross multiply
    21,739.46x = 32,614.49 × 6,746.21
  4. Step 4: Simplify right side
    21,739.46x = 220,024,164.85
  5. Step 5: Solve for x
    x = 220,024,164.85/21,739.46
  6. Step 6: Final answer
    x = 10,120.96

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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.