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Finding the Fourth Proportional to 20,501.82, 30,747.42 and 7,352.28

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Solution

The fourth proportional to 20,501.82, 30,747.42 and 7,352.28 is: 11,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.82 : 30,747.42 = 7,352.28 : x
  2. Step 2: Convert to fraction form
    20,501.82/30,747.42 = 7,352.28/x
  3. Step 3: Cross multiply
    20,501.82x = 30,747.42 × 7,352.28
  4. Step 4: Simplify right side
    20,501.82x = 226,063,641.12
  5. Step 5: Solve for x
    x = 226,063,641.12/20,501.82
  6. Step 6: Final answer
    x = 11,026.52

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1.5x scale

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.