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Finding the Fourth Proportional to 14,923.20, 20,593.23 and 8,209.11

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Solution

The fourth proportional to 14,923.20, 20,593.23 and 8,209.11 is: 11,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.20 : 20,593.23 = 8,209.11 : x
  2. Step 2: Convert to fraction form
    14,923.20/20,593.23 = 8,209.11/x
  3. Step 3: Cross multiply
    14,923.20x = 20,593.23 × 8,209.11
  4. Step 4: Simplify right side
    14,923.20x = 169,052,090.33
  5. Step 5: Solve for x
    x = 169,052,090.33/14,923.20
  6. Step 6: Final answer
    x = 11,328.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.