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Finding the Fourth Proportional to 12,151.84, 16,770.50 and 6,847.15

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Solution

The fourth proportional to 12,151.84, 16,770.50 and 6,847.15 is: 9,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.84 : 16,770.50 = 6,847.15 : x
  2. Step 2: Convert to fraction form
    12,151.84/16,770.50 = 6,847.15/x
  3. Step 3: Cross multiply
    12,151.84x = 16,770.50 × 6,847.15
  4. Step 4: Simplify right side
    12,151.84x = 114,830,129.08
  5. Step 5: Solve for x
    x = 114,830,129.08/12,151.84
  6. Step 6: Final answer
    x = 9,449.61

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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.