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Finding the Fourth Proportional to 20,508.03, 30,776.63 and 9,427.23

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Solution

The fourth proportional to 20,508.03, 30,776.63 and 9,427.23 is: 14,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.03 : 30,776.63 = 9,427.23 : x
  2. Step 2: Convert to fraction form
    20,508.03/30,776.63 = 9,427.23/x
  3. Step 3: Cross multiply
    20,508.03x = 30,776.63 × 9,427.23
  4. Step 4: Simplify right side
    20,508.03x = 290,138,322.50
  5. Step 5: Solve for x
    x = 290,138,322.50/20,508.03
  6. Step 6: Final answer
    x = 14,147.55

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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.