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Finding the Fourth Proportional to 24,540.54, 36,807.24 and 7,898.41

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Solution

The fourth proportional to 24,540.54, 36,807.24 and 7,898.41 is: 11,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.54 : 36,807.24 = 7,898.41 : x
  2. Step 2: Convert to fraction form
    24,540.54/36,807.24 = 7,898.41/x
  3. Step 3: Cross multiply
    24,540.54x = 36,807.24 × 7,898.41
  4. Step 4: Simplify right side
    24,540.54x = 290,718,672.49
  5. Step 5: Solve for x
    x = 290,718,672.49/24,540.54
  6. Step 6: Final answer
    x = 11,846.47

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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.