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Finding the Fourth Proportional to 14,919.27, 20,588.19 and 8,204.90

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Solution

The fourth proportional to 14,919.27, 20,588.19 and 8,204.90 is: 11,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.27 : 20,588.19 = 8,204.90 : x
  2. Step 2: Convert to fraction form
    14,919.27/20,588.19 = 8,204.90/x
  3. Step 3: Cross multiply
    14,919.27x = 20,588.19 × 8,204.90
  4. Step 4: Simplify right side
    14,919.27x = 168,924,009.36
  5. Step 5: Solve for x
    x = 168,924,009.36/14,919.27
  6. Step 6: Final answer
    x = 11,322.54

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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.