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Finding the Fourth Proportional to 21,532.64, 29,715.39 and 11,842.49

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Solution

The fourth proportional to 21,532.64, 29,715.39 and 11,842.49 is: 16,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.64 : 29,715.39 = 11,842.49 : x
  2. Step 2: Convert to fraction form
    21,532.64/29,715.39 = 11,842.49/x
  3. Step 3: Cross multiply
    21,532.64x = 29,715.39 × 11,842.49
  4. Step 4: Simplify right side
    21,532.64x = 351,904,208.92
  5. Step 5: Solve for x
    x = 351,904,208.92/21,532.64
  6. Step 6: Final answer
    x = 16,342.83

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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.