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Finding the Fourth Proportional to 21,746.92, 32,621.46 and 6,764.24

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Solution

The fourth proportional to 21,746.92, 32,621.46 and 6,764.24 is: 10,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.92 : 32,621.46 = 6,764.24 : x
  2. Step 2: Convert to fraction form
    21,746.92/32,621.46 = 6,764.24/x
  3. Step 3: Cross multiply
    21,746.92x = 32,621.46 × 6,764.24
  4. Step 4: Simplify right side
    21,746.92x = 220,659,384.59
  5. Step 5: Solve for x
    x = 220,659,384.59/21,746.92
  6. Step 6: Final answer
    x = 10,146.70

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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.