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Finding the Fourth Proportional to 18,676.76, 25,773.01 and 10,178.86

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Solution

The fourth proportional to 18,676.76, 25,773.01 and 10,178.86 is: 14,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.76 : 25,773.01 = 10,178.86 : x
  2. Step 2: Convert to fraction form
    18,676.76/25,773.01 = 10,178.86/x
  3. Step 3: Cross multiply
    18,676.76x = 25,773.01 × 10,178.86
  4. Step 4: Simplify right side
    18,676.76x = 262,339,860.57
  5. Step 5: Solve for x
    x = 262,339,860.57/18,676.76
  6. Step 6: Final answer
    x = 14,046.33

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1.5x scale

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.