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Finding the Fourth Proportional to 14,493.83, 20,003.49 and 9,189.14

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Solution

The fourth proportional to 14,493.83, 20,003.49 and 9,189.14 is: 12,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.83 : 20,003.49 = 9,189.14 : x
  2. Step 2: Convert to fraction form
    14,493.83/20,003.49 = 9,189.14/x
  3. Step 3: Cross multiply
    14,493.83x = 20,003.49 × 9,189.14
  4. Step 4: Simplify right side
    14,493.83x = 183,814,770.08
  5. Step 5: Solve for x
    x = 183,814,770.08/14,493.83
  6. Step 6: Final answer
    x = 12,682.28

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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.