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Finding the Fourth Proportional to 21,862.82, 32,794.02 and 7,071.41

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Solution

The fourth proportional to 21,862.82, 32,794.02 and 7,071.41 is: 10,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.82 : 32,794.02 = 7,071.41 : x
  2. Step 2: Convert to fraction form
    21,862.82/32,794.02 = 7,071.41/x
  3. Step 3: Cross multiply
    21,862.82x = 32,794.02 × 7,071.41
  4. Step 4: Simplify right side
    21,862.82x = 231,899,960.97
  5. Step 5: Solve for x
    x = 231,899,960.97/21,862.82
  6. Step 6: Final answer
    x = 10,607.05

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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.