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Finding the Fourth Proportional to 21,835.56, 32,732.22 and 7,034.43

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Solution

The fourth proportional to 21,835.56, 32,732.22 and 7,034.43 is: 10,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.56 : 32,732.22 = 7,034.43 : x
  2. Step 2: Convert to fraction form
    21,835.56/32,732.22 = 7,034.43/x
  3. Step 3: Cross multiply
    21,835.56x = 32,732.22 × 7,034.43
  4. Step 4: Simplify right side
    21,835.56x = 230,252,510.33
  5. Step 5: Solve for x
    x = 230,252,510.33/21,835.56
  6. Step 6: Final answer
    x = 10,544.84

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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.