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Finding the Fourth Proportional to 16,164.69, 24,222.35 and 6,799.58

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Solution

The fourth proportional to 16,164.69, 24,222.35 and 6,799.58 is: 10,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.69 : 24,222.35 = 6,799.58 : x
  2. Step 2: Convert to fraction form
    16,164.69/24,222.35 = 6,799.58/x
  3. Step 3: Cross multiply
    16,164.69x = 24,222.35 × 6,799.58
  4. Step 4: Simplify right side
    16,164.69x = 164,701,651.50
  5. Step 5: Solve for x
    x = 164,701,651.50/16,164.69
  6. Step 6: Final answer
    x = 10,188.98

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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.