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Finding the Fourth Proportional to 14,696.82, 20,281.93 and 8,409.22

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Solution

The fourth proportional to 14,696.82, 20,281.93 and 8,409.22 is: 11,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.82 : 20,281.93 = 8,409.22 : x
  2. Step 2: Convert to fraction form
    14,696.82/20,281.93 = 8,409.22/x
  3. Step 3: Cross multiply
    14,696.82x = 20,281.93 × 8,409.22
  4. Step 4: Simplify right side
    14,696.82x = 170,555,211.39
  5. Step 5: Solve for x
    x = 170,555,211.39/14,696.82
  6. Step 6: Final answer
    x = 11,604.91

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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.