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Finding the Fourth Proportional to 12,608.76, 18,912.12 and 7,677.16

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Solution

The fourth proportional to 12,608.76, 18,912.12 and 7,677.16 is: 11,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.76 : 18,912.12 = 7,677.16 : x
  2. Step 2: Convert to fraction form
    12,608.76/18,912.12 = 7,677.16/x
  3. Step 3: Cross multiply
    12,608.76x = 18,912.12 × 7,677.16
  4. Step 4: Simplify right side
    12,608.76x = 145,191,371.18
  5. Step 5: Solve for x
    x = 145,191,371.18/12,608.76
  6. Step 6: Final answer
    x = 11,515.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.