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Finding the Fourth Proportional to 24,578.91, 36,871.74 and 7,933.41

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Solution

The fourth proportional to 24,578.91, 36,871.74 and 7,933.41 is: 11,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.91 : 36,871.74 = 7,933.41 : x
  2. Step 2: Convert to fraction form
    24,578.91/36,871.74 = 7,933.41/x
  3. Step 3: Cross multiply
    24,578.91x = 36,871.74 × 7,933.41
  4. Step 4: Simplify right side
    24,578.91x = 292,518,630.83
  5. Step 5: Solve for x
    x = 292,518,630.83/24,578.91
  6. Step 6: Final answer
    x = 11,901.20

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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.