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Finding the Fourth Proportional to 16,464.14, 24,665.16 and 8,134.46

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Solution

The fourth proportional to 16,464.14, 24,665.16 and 8,134.46 is: 12,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.14 : 24,665.16 = 8,134.46 : x
  2. Step 2: Convert to fraction form
    16,464.14/24,665.16 = 8,134.46/x
  3. Step 3: Cross multiply
    16,464.14x = 24,665.16 × 8,134.46
  4. Step 4: Simplify right side
    16,464.14x = 200,637,757.41
  5. Step 5: Solve for x
    x = 200,637,757.41/16,464.14
  6. Step 6: Final answer
    x = 12,186.35

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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.