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Finding the Fourth Proportional to 14,523.71, 20,042.71 and 8,236.08

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Solution

The fourth proportional to 14,523.71, 20,042.71 and 8,236.08 is: 11,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.71 : 20,042.71 = 8,236.08 : x
  2. Step 2: Convert to fraction form
    14,523.71/20,042.71 = 8,236.08/x
  3. Step 3: Cross multiply
    14,523.71x = 20,042.71 × 8,236.08
  4. Step 4: Simplify right side
    14,523.71x = 165,073,373.27
  5. Step 5: Solve for x
    x = 165,073,373.27/14,523.71
  6. Step 6: Final answer
    x = 11,365.79

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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.