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Finding the Fourth Proportional to 21,796.38, 30,078.80 and 12,365.02

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Solution

The fourth proportional to 21,796.38, 30,078.80 and 12,365.02 is: 17,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.38 : 30,078.80 = 12,365.02 : x
  2. Step 2: Convert to fraction form
    21,796.38/30,078.80 = 12,365.02/x
  3. Step 3: Cross multiply
    21,796.38x = 30,078.80 × 12,365.02
  4. Step 4: Simplify right side
    21,796.38x = 371,924,963.58
  5. Step 5: Solve for x
    x = 371,924,963.58/21,796.38
  6. Step 6: Final answer
    x = 17,063.61

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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.