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Finding the Fourth Proportional to 24,652, 36,979.92 and 8,236

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Solution

The fourth proportional to 24,652, 36,979.92 and 8,236 is: 12,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652 : 36,979.92 = 8,236 : x
  2. Step 2: Convert to fraction form
    24,652/36,979.92 = 8,236/x
  3. Step 3: Cross multiply
    24,652x = 36,979.92 × 8,236
  4. Step 4: Simplify right side
    24,652x = 304,566,621.12
  5. Step 5: Solve for x
    x = 304,566,621.12/24,652
  6. Step 6: Final answer
    x = 12,354.64

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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.