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Finding the Fourth Proportional to 16,293, 22,484.36 and 8,841

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Solution

The fourth proportional to 16,293, 22,484.36 and 8,841 is: 12,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293 : 22,484.36 = 8,841 : x
  2. Step 2: Convert to fraction form
    16,293/22,484.36 = 8,841/x
  3. Step 3: Cross multiply
    16,293x = 22,484.36 × 8,841
  4. Step 4: Simplify right side
    16,293x = 198,784,226.76
  5. Step 5: Solve for x
    x = 198,784,226.76/16,293
  6. Step 6: Final answer
    x = 12,200.59

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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.