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Finding the Fourth Proportional to 12,806.31, 19,208.77 and 4,912.61

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Solution

The fourth proportional to 12,806.31, 19,208.77 and 4,912.61 is: 7,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.31 : 19,208.77 = 4,912.61 : x
  2. Step 2: Convert to fraction form
    12,806.31/19,208.77 = 4,912.61/x
  3. Step 3: Cross multiply
    12,806.31x = 19,208.77 × 4,912.61
  4. Step 4: Simplify right side
    12,806.31x = 94,365,171.03
  5. Step 5: Solve for x
    x = 94,365,171.03/12,806.31
  6. Step 6: Final answer
    x = 7,368.65

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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.