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Finding the Fourth Proportional to 16,793.76, 25,183.35 and 9,780.78

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Solution

The fourth proportional to 16,793.76, 25,183.35 and 9,780.78 is: 14,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.76 : 25,183.35 = 9,780.78 : x
  2. Step 2: Convert to fraction form
    16,793.76/25,183.35 = 9,780.78/x
  3. Step 3: Cross multiply
    16,793.76x = 25,183.35 × 9,780.78
  4. Step 4: Simplify right side
    16,793.76x = 246,312,806.01
  5. Step 5: Solve for x
    x = 246,312,806.01/16,793.76
  6. Step 6: Final answer
    x = 14,666.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.