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Finding the Fourth Proportional to 12,196.84, 16,767.02 and 10,489.09

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Solution

The fourth proportional to 12,196.84, 16,767.02 and 10,489.09 is: 14,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.84 : 16,767.02 = 10,489.09 : x
  2. Step 2: Convert to fraction form
    12,196.84/16,767.02 = 10,489.09/x
  3. Step 3: Cross multiply
    12,196.84x = 16,767.02 × 10,489.09
  4. Step 4: Simplify right side
    12,196.84x = 175,870,781.81
  5. Step 5: Solve for x
    x = 175,870,781.81/12,196.84
  6. Step 6: Final answer
    x = 14,419.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.