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Finding the Fourth Proportional to 24,786.42, 37,171.74 and 8,142.59

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Solution

The fourth proportional to 24,786.42, 37,171.74 and 8,142.59 is: 12,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.42 : 37,171.74 = 8,142.59 : x
  2. Step 2: Convert to fraction form
    24,786.42/37,171.74 = 8,142.59/x
  3. Step 3: Cross multiply
    24,786.42x = 37,171.74 × 8,142.59
  4. Step 4: Simplify right side
    24,786.42x = 302,674,238.41
  5. Step 5: Solve for x
    x = 302,674,238.41/24,786.42
  6. Step 6: Final answer
    x = 12,211.29

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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.