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Finding the Fourth Proportional to 24,239.50, 36,359.19 and 6,709.27

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Solution

The fourth proportional to 24,239.50, 36,359.19 and 6,709.27 is: 10,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.50 : 36,359.19 = 6,709.27 : x
  2. Step 2: Convert to fraction form
    24,239.50/36,359.19 = 6,709.27/x
  3. Step 3: Cross multiply
    24,239.50x = 36,359.19 × 6,709.27
  4. Step 4: Simplify right side
    24,239.50x = 243,943,622.69
  5. Step 5: Solve for x
    x = 243,943,622.69/24,239.50
  6. Step 6: Final answer
    x = 10,063.89

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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.