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Finding the Fourth Proportional to 15,212.09, 20,991.63 and 8,405.82

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Solution

The fourth proportional to 15,212.09, 20,991.63 and 8,405.82 is: 11,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.09 : 20,991.63 = 8,405.82 : x
  2. Step 2: Convert to fraction form
    15,212.09/20,991.63 = 8,405.82/x
  3. Step 3: Cross multiply
    15,212.09x = 20,991.63 × 8,405.82
  4. Step 4: Simplify right side
    15,212.09x = 176,451,863.29
  5. Step 5: Solve for x
    x = 176,451,863.29/15,212.09
  6. Step 6: Final answer
    x = 11,599.45

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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.