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Finding the Fourth Proportional to 20,601.78, 28,438.25 and 12,654.78

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Solution

The fourth proportional to 20,601.78, 28,438.25 and 12,654.78 is: 17,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601.78 : 28,438.25 = 12,654.78 : x
  2. Step 2: Convert to fraction form
    20,601.78/28,438.25 = 12,654.78/x
  3. Step 3: Cross multiply
    20,601.78x = 28,438.25 × 12,654.78
  4. Step 4: Simplify right side
    20,601.78x = 359,879,734.06
  5. Step 5: Solve for x
    x = 359,879,734.06/20,601.78
  6. Step 6: Final answer
    x = 17,468.38

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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.