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Finding the Fourth Proportional to 21,834.68, 32,754.46 and 7,797.96

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Solution

The fourth proportional to 21,834.68, 32,754.46 and 7,797.96 is: 11,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.68 : 32,754.46 = 7,797.96 : x
  2. Step 2: Convert to fraction form
    21,834.68/32,754.46 = 7,797.96/x
  3. Step 3: Cross multiply
    21,834.68x = 32,754.46 × 7,797.96
  4. Step 4: Simplify right side
    21,834.68x = 255,417,968.90
  5. Step 5: Solve for x
    x = 255,417,968.90/21,834.68
  6. Step 6: Final answer
    x = 11,697.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.