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Finding the Fourth Proportional to 16,442.32, 22,693.37 and 9,274.44

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Solution

The fourth proportional to 16,442.32, 22,693.37 and 9,274.44 is: 12,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.32 : 22,693.37 = 9,274.44 : x
  2. Step 2: Convert to fraction form
    16,442.32/22,693.37 = 9,274.44/x
  3. Step 3: Cross multiply
    16,442.32x = 22,693.37 × 9,274.44
  4. Step 4: Simplify right side
    16,442.32x = 210,468,138.62
  5. Step 5: Solve for x
    x = 210,468,138.62/16,442.32
  6. Step 6: Final answer
    x = 12,800.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.