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Finding the Fourth Proportional to 24,136.58, 36,209.70 and 8,342.19

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Solution

The fourth proportional to 24,136.58, 36,209.70 and 8,342.19 is: 12,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.58 : 36,209.70 = 8,342.19 : x
  2. Step 2: Convert to fraction form
    24,136.58/36,209.70 = 8,342.19/x
  3. Step 3: Cross multiply
    24,136.58x = 36,209.70 × 8,342.19
  4. Step 4: Simplify right side
    24,136.58x = 302,068,197.24
  5. Step 5: Solve for x
    x = 302,068,197.24/24,136.58
  6. Step 6: Final answer
    x = 12,514.96

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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.