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Finding the Fourth Proportional to 24,867, 37,300.50 and 8,451

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Solution

The fourth proportional to 24,867, 37,300.50 and 8,451 is: 12,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 37,300.50 = 8,451 : x
  2. Step 2: Convert to fraction form
    24,867/37,300.50 = 8,451/x
  3. Step 3: Cross multiply
    24,867x = 37,300.50 × 8,451
  4. Step 4: Simplify right side
    24,867x = 315,226,525.50
  5. Step 5: Solve for x
    x = 315,226,525.50/24,867
  6. Step 6: Final answer
    x = 12,676.50

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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.