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Finding the Fourth Proportional to 16,468.80, 24,719.40 and 8,158.20

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Solution

The fourth proportional to 16,468.80, 24,719.40 and 8,158.20 is: 12,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.80 : 24,719.40 = 8,158.20 : x
  2. Step 2: Convert to fraction form
    16,468.80/24,719.40 = 8,158.20/x
  3. Step 3: Cross multiply
    16,468.80x = 24,719.40 × 8,158.20
  4. Step 4: Simplify right side
    16,468.80x = 201,665,809.08
  5. Step 5: Solve for x
    x = 201,665,809.08/16,468.80
  6. Step 6: Final answer
    x = 12,245.33

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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.