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Finding the Fourth Proportional to 14,932.57, 20,606.52 and 8,218.20

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Solution

The fourth proportional to 14,932.57, 20,606.52 and 8,218.20 is: 11,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.57 : 20,606.52 = 8,218.20 : x
  2. Step 2: Convert to fraction form
    14,932.57/20,606.52 = 8,218.20/x
  3. Step 3: Cross multiply
    14,932.57x = 20,606.52 × 8,218.20
  4. Step 4: Simplify right side
    14,932.57x = 169,348,502.66
  5. Step 5: Solve for x
    x = 169,348,502.66/14,932.57
  6. Step 6: Final answer
    x = 11,340.88

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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.