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Finding the Fourth Proportional to 16,164.68, 24,261.64 and 6,811.64

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Solution

The fourth proportional to 16,164.68, 24,261.64 and 6,811.64 is: 10,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.68 : 24,261.64 = 6,811.64 : x
  2. Step 2: Convert to fraction form
    16,164.68/24,261.64 = 6,811.64/x
  3. Step 3: Cross multiply
    16,164.68x = 24,261.64 × 6,811.64
  4. Step 4: Simplify right side
    16,164.68x = 165,261,557.49
  5. Step 5: Solve for x
    x = 165,261,557.49/16,164.68
  6. Step 6: Final answer
    x = 10,223.62

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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.