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Finding the Fourth Proportional to 16,057.61, 24,086.42 and 8,158.89

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Solution

The fourth proportional to 16,057.61, 24,086.42 and 8,158.89 is: 12,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.61 : 24,086.42 = 8,158.89 : x
  2. Step 2: Convert to fraction form
    16,057.61/24,086.42 = 8,158.89/x
  3. Step 3: Cross multiply
    16,057.61x = 24,086.42 × 8,158.89
  4. Step 4: Simplify right side
    16,057.61x = 196,518,410.48
  5. Step 5: Solve for x
    x = 196,518,410.48/16,057.61
  6. Step 6: Final answer
    x = 12,238.34

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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.