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Finding the Fourth Proportional to 15,493.38, 21,380.82 and 8,419.74

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Solution

The fourth proportional to 15,493.38, 21,380.82 and 8,419.74 is: 11,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.38 : 21,380.82 = 8,419.74 : x
  2. Step 2: Convert to fraction form
    15,493.38/21,380.82 = 8,419.74/x
  3. Step 3: Cross multiply
    15,493.38x = 21,380.82 × 8,419.74
  4. Step 4: Simplify right side
    15,493.38x = 180,020,945.39
  5. Step 5: Solve for x
    x = 180,020,945.39/15,493.38
  6. Step 6: Final answer
    x = 11,619.22

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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.