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Finding the Fourth Proportional to 15,438.78, 21,305.49 and 8,365.38

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Solution

The fourth proportional to 15,438.78, 21,305.49 and 8,365.38 is: 11,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.78 : 21,305.49 = 8,365.38 : x
  2. Step 2: Convert to fraction form
    15,438.78/21,305.49 = 8,365.38/x
  3. Step 3: Cross multiply
    15,438.78x = 21,305.49 × 8,365.38
  4. Step 4: Simplify right side
    15,438.78x = 178,228,519.94
  5. Step 5: Solve for x
    x = 178,228,519.94/15,438.78
  6. Step 6: Final answer
    x = 11,544.21

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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.