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Finding the Fourth Proportional to 24,872.98, 37,309.47 and 8,228.53

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Solution

The fourth proportional to 24,872.98, 37,309.47 and 8,228.53 is: 12,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.98 : 37,309.47 = 8,228.53 : x
  2. Step 2: Convert to fraction form
    24,872.98/37,309.47 = 8,228.53/x
  3. Step 3: Cross multiply
    24,872.98x = 37,309.47 × 8,228.53
  4. Step 4: Simplify right side
    24,872.98x = 307,002,093.18
  5. Step 5: Solve for x
    x = 307,002,093.18/24,872.98
  6. Step 6: Final answer
    x = 12,342.80

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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.