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Finding the Fourth Proportional to 12,194.75, 16,832.72 and 7,158.84

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Solution

The fourth proportional to 12,194.75, 16,832.72 and 7,158.84 is: 9,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.75 : 16,832.72 = 7,158.84 : x
  2. Step 2: Convert to fraction form
    12,194.75/16,832.72 = 7,158.84/x
  3. Step 3: Cross multiply
    12,194.75x = 16,832.72 × 7,158.84
  4. Step 4: Simplify right side
    12,194.75x = 120,502,725.92
  5. Step 5: Solve for x
    x = 120,502,725.92/12,194.75
  6. Step 6: Final answer
    x = 9,881.53

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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.