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Finding the Fourth Proportional to 21,824.81, 32,735.09 and 7,044.34

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Solution

The fourth proportional to 21,824.81, 32,735.09 and 7,044.34 is: 10,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.81 : 32,735.09 = 7,044.34 : x
  2. Step 2: Convert to fraction form
    21,824.81/32,735.09 = 7,044.34/x
  3. Step 3: Cross multiply
    21,824.81x = 32,735.09 × 7,044.34
  4. Step 4: Simplify right side
    21,824.81x = 230,597,039.66
  5. Step 5: Solve for x
    x = 230,597,039.66/21,824.81
  6. Step 6: Final answer
    x = 10,565.82

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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.