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Finding the Fourth Proportional to 24,907.50, 37,367.17 and 8,491.50

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Solution

The fourth proportional to 24,907.50, 37,367.17 and 8,491.50 is: 12,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.50 : 37,367.17 = 8,491.50 : x
  2. Step 2: Convert to fraction form
    24,907.50/37,367.17 = 8,491.50/x
  3. Step 3: Cross multiply
    24,907.50x = 37,367.17 × 8,491.50
  4. Step 4: Simplify right side
    24,907.50x = 317,303,324.06
  5. Step 5: Solve for x
    x = 317,303,324.06/24,907.50
  6. Step 6: Final answer
    x = 12,739.27

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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.