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Finding the Fourth Proportional to 16,336, 22,543.68 and 8,884

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Solution

The fourth proportional to 16,336, 22,543.68 and 8,884 is: 12,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336 : 22,543.68 = 8,884 : x
  2. Step 2: Convert to fraction form
    16,336/22,543.68 = 8,884/x
  3. Step 3: Cross multiply
    16,336x = 22,543.68 × 8,884
  4. Step 4: Simplify right side
    16,336x = 200,278,053.12
  5. Step 5: Solve for x
    x = 200,278,053.12/16,336
  6. Step 6: Final answer
    x = 12,259.92

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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.