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Finding the Fourth Proportional to 20,930.78, 28,884.53 and 12,314.75

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Solution

The fourth proportional to 20,930.78, 28,884.53 and 12,314.75 is: 16,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.78 : 28,884.53 = 12,314.75 : x
  2. Step 2: Convert to fraction form
    20,930.78/28,884.53 = 12,314.75/x
  3. Step 3: Cross multiply
    20,930.78x = 28,884.53 × 12,314.75
  4. Step 4: Simplify right side
    20,930.78x = 355,705,652.18
  5. Step 5: Solve for x
    x = 355,705,652.18/20,930.78
  6. Step 6: Final answer
    x = 16,994.38

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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.