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Finding the Fourth Proportional to 21,198.88, 31,798.32 and 7,347.88

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Solution

The fourth proportional to 21,198.88, 31,798.32 and 7,347.88 is: 11,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.88 : 31,798.32 = 7,347.88 : x
  2. Step 2: Convert to fraction form
    21,198.88/31,798.32 = 7,347.88/x
  3. Step 3: Cross multiply
    21,198.88x = 31,798.32 × 7,347.88
  4. Step 4: Simplify right side
    21,198.88x = 233,650,239.56
  5. Step 5: Solve for x
    x = 233,650,239.56/21,198.88
  6. Step 6: Final answer
    x = 11,021.82

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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.