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Finding the Fourth Proportional to 12,886.41, 19,336.10 and 9,606.09

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Solution

The fourth proportional to 12,886.41, 19,336.10 and 9,606.09 is: 14,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.41 : 19,336.10 = 9,606.09 : x
  2. Step 2: Convert to fraction form
    12,886.41/19,336.10 = 9,606.09/x
  3. Step 3: Cross multiply
    12,886.41x = 19,336.10 × 9,606.09
  4. Step 4: Simplify right side
    12,886.41x = 185,744,268.82
  5. Step 5: Solve for x
    x = 185,744,268.82/12,886.41
  6. Step 6: Final answer
    x = 14,413.97

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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.