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Finding the Fourth Proportional to 16,546.87, 24,822.13 and 4,861

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Solution

The fourth proportional to 16,546.87, 24,822.13 and 4,861 is: 7,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.87 : 24,822.13 = 4,861 : x
  2. Step 2: Convert to fraction form
    16,546.87/24,822.13 = 4,861/x
  3. Step 3: Cross multiply
    16,546.87x = 24,822.13 × 4,861
  4. Step 4: Simplify right side
    16,546.87x = 120,660,373.93
  5. Step 5: Solve for x
    x = 120,660,373.93/16,546.87
  6. Step 6: Final answer
    x = 7,292.04

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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.