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Finding the Fourth Proportional to 20,502.82, 30,748.92 and 7,353.28

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Solution

The fourth proportional to 20,502.82, 30,748.92 and 7,353.28 is: 11,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.82 : 30,748.92 = 7,353.28 : x
  2. Step 2: Convert to fraction form
    20,502.82/30,748.92 = 7,353.28/x
  3. Step 3: Cross multiply
    20,502.82x = 30,748.92 × 7,353.28
  4. Step 4: Simplify right side
    20,502.82x = 226,105,418.46
  5. Step 5: Solve for x
    x = 226,105,418.46/20,502.82
  6. Step 6: Final answer
    x = 11,028.02

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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.