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Finding the Fourth Proportional to 24,839.71, 37,263.27 and 8,201.50

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Solution

The fourth proportional to 24,839.71, 37,263.27 and 8,201.50 is: 12,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839.71 : 37,263.27 = 8,201.50 : x
  2. Step 2: Convert to fraction form
    24,839.71/37,263.27 = 8,201.50/x
  3. Step 3: Cross multiply
    24,839.71x = 37,263.27 × 8,201.50
  4. Step 4: Simplify right side
    24,839.71x = 305,614,708.91
  5. Step 5: Solve for x
    x = 305,614,708.91/24,839.71
  6. Step 6: Final answer
    x = 12,303.47

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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.