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Finding the Fourth Proportional to 16,196, 22,348.80 and 9,481.28

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Solution

The fourth proportional to 16,196, 22,348.80 and 9,481.28 is: 13,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196 : 22,348.80 = 9,481.28 : x
  2. Step 2: Convert to fraction form
    16,196/22,348.80 = 9,481.28/x
  3. Step 3: Cross multiply
    16,196x = 22,348.80 × 9,481.28
  4. Step 4: Simplify right side
    16,196x = 211,895,230.46
  5. Step 5: Solve for x
    x = 211,895,230.46/16,196
  6. Step 6: Final answer
    x = 13,083.18

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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.