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Finding the Fourth Proportional to 24,874.71, 37,317.43 and 8,233.90

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Solution

The fourth proportional to 24,874.71, 37,317.43 and 8,233.90 is: 12,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.71 : 37,317.43 = 8,233.90 : x
  2. Step 2: Convert to fraction form
    24,874.71/37,317.43 = 8,233.90/x
  3. Step 3: Cross multiply
    24,874.71x = 37,317.43 × 8,233.90
  4. Step 4: Simplify right side
    24,874.71x = 307,267,986.88
  5. Step 5: Solve for x
    x = 307,267,986.88/24,874.71
  6. Step 6: Final answer
    x = 12,352.63

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1.5x scale

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.