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Finding the Fourth Proportional to 16,209.96, 24,296.86 and 6,847.17

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Solution

The fourth proportional to 16,209.96, 24,296.86 and 6,847.17 is: 10,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.96 : 24,296.86 = 6,847.17 : x
  2. Step 2: Convert to fraction form
    16,209.96/24,296.86 = 6,847.17/x
  3. Step 3: Cross multiply
    16,209.96x = 24,296.86 × 6,847.17
  4. Step 4: Simplify right side
    16,209.96x = 166,364,730.89
  5. Step 5: Solve for x
    x = 166,364,730.89/16,209.96
  6. Step 6: Final answer
    x = 10,263.12

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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.