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Finding the Fourth Proportional to 14,921.16, 20,591.75 and 8,207.31

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Solution

The fourth proportional to 14,921.16, 20,591.75 and 8,207.31 is: 11,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.16 : 20,591.75 = 8,207.31 : x
  2. Step 2: Convert to fraction form
    14,921.16/20,591.75 = 8,207.31/x
  3. Step 3: Cross multiply
    14,921.16x = 20,591.75 × 8,207.31
  4. Step 4: Simplify right side
    14,921.16x = 169,002,857.60
  5. Step 5: Solve for x
    x = 169,002,857.60/14,921.16
  6. Step 6: Final answer
    x = 11,326.39

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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.