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Finding the Fourth Proportional to 24,241.50, 36,362.19 and 6,711.27

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Solution

The fourth proportional to 24,241.50, 36,362.19 and 6,711.27 is: 10,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.50 : 36,362.19 = 6,711.27 : x
  2. Step 2: Convert to fraction form
    24,241.50/36,362.19 = 6,711.27/x
  3. Step 3: Cross multiply
    24,241.50x = 36,362.19 × 6,711.27
  4. Step 4: Simplify right side
    24,241.50x = 244,036,474.88
  5. Step 5: Solve for x
    x = 244,036,474.88/24,241.50
  6. Step 6: Final answer
    x = 10,066.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.