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Finding the Fourth Proportional to 14,912.15, 20,577 and 8,196.68

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Solution

The fourth proportional to 14,912.15, 20,577 and 8,196.68 is: 11,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.15 : 20,577 = 8,196.68 : x
  2. Step 2: Convert to fraction form
    14,912.15/20,577 = 8,196.68/x
  3. Step 3: Cross multiply
    14,912.15x = 20,577 × 8,196.68
  4. Step 4: Simplify right side
    14,912.15x = 168,663,084.36
  5. Step 5: Solve for x
    x = 168,663,084.36/14,912.15
  6. Step 6: Final answer
    x = 11,310.45

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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.