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Finding the Fourth Proportional to 22,865.22, 34,301.04 and 7,071.54

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Solution

The fourth proportional to 22,865.22, 34,301.04 and 7,071.54 is: 10,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.22 : 34,301.04 = 7,071.54 : x
  2. Step 2: Convert to fraction form
    22,865.22/34,301.04 = 7,071.54/x
  3. Step 3: Cross multiply
    22,865.22x = 34,301.04 × 7,071.54
  4. Step 4: Simplify right side
    22,865.22x = 242,561,176.40
  5. Step 5: Solve for x
    x = 242,561,176.40/22,865.22
  6. Step 6: Final answer
    x = 10,608.30

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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.