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Finding the Fourth Proportional to 14,527.50, 20,049.17 and 8,241.09

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Solution

The fourth proportional to 14,527.50, 20,049.17 and 8,241.09 is: 11,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.50 : 20,049.17 = 8,241.09 : x
  2. Step 2: Convert to fraction form
    14,527.50/20,049.17 = 8,241.09/x
  3. Step 3: Cross multiply
    14,527.50x = 20,049.17 × 8,241.09
  4. Step 4: Simplify right side
    14,527.50x = 165,226,973.19
  5. Step 5: Solve for x
    x = 165,226,973.19/14,527.50
  6. Step 6: Final answer
    x = 11,373.39

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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.