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Finding the Fourth Proportional to 12,151.30, 16,768.72 and 6,847.82

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Solution

The fourth proportional to 12,151.30, 16,768.72 and 6,847.82 is: 9,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.30 : 16,768.72 = 6,847.82 : x
  2. Step 2: Convert to fraction form
    12,151.30/16,768.72 = 6,847.82/x
  3. Step 3: Cross multiply
    12,151.30x = 16,768.72 × 6,847.82
  4. Step 4: Simplify right side
    12,151.30x = 114,829,176.19
  5. Step 5: Solve for x
    x = 114,829,176.19/12,151.30
  6. Step 6: Final answer
    x = 9,449.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.