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Finding the Fourth Proportional to 21,794.54, 30,076.75 and 12,236.50

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Solution

The fourth proportional to 21,794.54, 30,076.75 and 12,236.50 is: 16,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.54 : 30,076.75 = 12,236.50 : x
  2. Step 2: Convert to fraction form
    21,794.54/30,076.75 = 12,236.50/x
  3. Step 3: Cross multiply
    21,794.54x = 30,076.75 × 12,236.50
  4. Step 4: Simplify right side
    21,794.54x = 368,034,151.38
  5. Step 5: Solve for x
    x = 368,034,151.38/21,794.54
  6. Step 6: Final answer
    x = 16,886.53

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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.