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Finding the Fourth Proportional to 14,523.84, 20,043.18 and 8,236.08

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Solution

The fourth proportional to 14,523.84, 20,043.18 and 8,236.08 is: 11,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.84 : 20,043.18 = 8,236.08 : x
  2. Step 2: Convert to fraction form
    14,523.84/20,043.18 = 8,236.08/x
  3. Step 3: Cross multiply
    14,523.84x = 20,043.18 × 8,236.08
  4. Step 4: Simplify right side
    14,523.84x = 165,077,233.93
  5. Step 5: Solve for x
    x = 165,077,233.93/14,523.84
  6. Step 6: Final answer
    x = 11,365.95

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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.