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Finding the Fourth Proportional to 12,179.34, 16,808.94 and 7,145.46

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Solution

The fourth proportional to 12,179.34, 16,808.94 and 7,145.46 is: 9,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.34 : 16,808.94 = 7,145.46 : x
  2. Step 2: Convert to fraction form
    12,179.34/16,808.94 = 7,145.46/x
  3. Step 3: Cross multiply
    12,179.34x = 16,808.94 × 7,145.46
  4. Step 4: Simplify right side
    12,179.34x = 120,107,608.41
  5. Step 5: Solve for x
    x = 120,107,608.41/12,179.34
  6. Step 6: Final answer
    x = 9,861.59

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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.