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Finding the Fourth Proportional to 21,273.38, 29,357.46 and 11,842.14

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Solution

The fourth proportional to 21,273.38, 29,357.46 and 11,842.14 is: 16,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.38 : 29,357.46 = 11,842.14 : x
  2. Step 2: Convert to fraction form
    21,273.38/29,357.46 = 11,842.14/x
  3. Step 3: Cross multiply
    21,273.38x = 29,357.46 × 11,842.14
  4. Step 4: Simplify right side
    21,273.38x = 347,655,151.36
  5. Step 5: Solve for x
    x = 347,655,151.36/21,273.38
  6. Step 6: Final answer
    x = 16,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.