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Finding the Fourth Proportional to 17,467.68, 24,101.64 and 11,178.84

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Solution

The fourth proportional to 17,467.68, 24,101.64 and 11,178.84 is: 15,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.68 : 24,101.64 = 11,178.84 : x
  2. Step 2: Convert to fraction form
    17,467.68/24,101.64 = 11,178.84/x
  3. Step 3: Cross multiply
    17,467.68x = 24,101.64 × 11,178.84
  4. Step 4: Simplify right side
    17,467.68x = 269,428,377.30
  5. Step 5: Solve for x
    x = 269,428,377.30/17,467.68
  6. Step 6: Final answer
    x = 15,424.39

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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.