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Finding the Fourth Proportional to 16,295.83, 24,425.11 and 6,922.10

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Solution

The fourth proportional to 16,295.83, 24,425.11 and 6,922.10 is: 10,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.83 : 24,425.11 = 6,922.10 : x
  2. Step 2: Convert to fraction form
    16,295.83/24,425.11 = 6,922.10/x
  3. Step 3: Cross multiply
    16,295.83x = 24,425.11 × 6,922.10
  4. Step 4: Simplify right side
    16,295.83x = 169,073,097.69
  5. Step 5: Solve for x
    x = 169,073,097.69/16,295.83
  6. Step 6: Final answer
    x = 10,375.24

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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.