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Finding the Fourth Proportional to 24,540.50, 36,809.94 and 7,901.48

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Solution

The fourth proportional to 24,540.50, 36,809.94 and 7,901.48 is: 11,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.50 : 36,809.94 = 7,901.48 : x
  2. Step 2: Convert to fraction form
    24,540.50/36,809.94 = 7,901.48/x
  3. Step 3: Cross multiply
    24,540.50x = 36,809.94 × 7,901.48
  4. Step 4: Simplify right side
    24,540.50x = 290,853,004.71
  5. Step 5: Solve for x
    x = 290,853,004.71/24,540.50
  6. Step 6: Final answer
    x = 11,851.96

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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.