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Finding the Fourth Proportional to 16,184.60, 24,277.70 and 8,408.60

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Solution

The fourth proportional to 16,184.60, 24,277.70 and 8,408.60 is: 12,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.60 : 24,277.70 = 8,408.60 : x
  2. Step 2: Convert to fraction form
    16,184.60/24,277.70 = 8,408.60/x
  3. Step 3: Cross multiply
    16,184.60x = 24,277.70 × 8,408.60
  4. Step 4: Simplify right side
    16,184.60x = 204,141,468.22
  5. Step 5: Solve for x
    x = 204,141,468.22/16,184.60
  6. Step 6: Final answer
    x = 12,613.32

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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.