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Finding the Fourth Proportional to 11,098.72, 16,662.72 and 10,181.80

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Solution

The fourth proportional to 11,098.72, 16,662.72 and 10,181.80 is: 15,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.72 : 16,662.72 = 10,181.80 : x
  2. Step 2: Convert to fraction form
    11,098.72/16,662.72 = 10,181.80/x
  3. Step 3: Cross multiply
    11,098.72x = 16,662.72 × 10,181.80
  4. Step 4: Simplify right side
    11,098.72x = 169,656,482.50
  5. Step 5: Solve for x
    x = 169,656,482.50/11,098.72
  6. Step 6: Final answer
    x = 15,286.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.