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Finding the Fourth Proportional to 16,246, 22,419.48 and 8,794

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Solution

The fourth proportional to 16,246, 22,419.48 and 8,794 is: 12,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246 : 22,419.48 = 8,794 : x
  2. Step 2: Convert to fraction form
    16,246/22,419.48 = 8,794/x
  3. Step 3: Cross multiply
    16,246x = 22,419.48 × 8,794
  4. Step 4: Simplify right side
    16,246x = 197,156,907.12
  5. Step 5: Solve for x
    x = 197,156,907.12/16,246
  6. Step 6: Final answer
    x = 12,135.72

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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.