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Finding the Fourth Proportional to 21,198.38, 31,797.58 and 7,347.38

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Solution

The fourth proportional to 21,198.38, 31,797.58 and 7,347.38 is: 11,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.38 : 31,797.58 = 7,347.38 : x
  2. Step 2: Convert to fraction form
    21,198.38/31,797.58 = 7,347.38/x
  3. Step 3: Cross multiply
    21,198.38x = 31,797.58 × 7,347.38
  4. Step 4: Simplify right side
    21,198.38x = 233,628,903.34
  5. Step 5: Solve for x
    x = 233,628,903.34/21,198.38
  6. Step 6: Final answer
    x = 11,021.07

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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.