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Finding the Fourth Proportional to 11,106.35, 16,598.09 and 9,949.97

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Solution

The fourth proportional to 11,106.35, 16,598.09 and 9,949.97 is: 14,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.35 : 16,598.09 = 9,949.97 : x
  2. Step 2: Convert to fraction form
    11,106.35/16,598.09 = 9,949.97/x
  3. Step 3: Cross multiply
    11,106.35x = 16,598.09 × 9,949.97
  4. Step 4: Simplify right side
    11,106.35x = 165,150,497.56
  5. Step 5: Solve for x
    x = 165,150,497.56/11,106.35
  6. Step 6: Final answer
    x = 14,869.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.