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Finding the Fourth Proportional to 14,696.82, 20,282.63 and 8,323.34

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Solution

The fourth proportional to 14,696.82, 20,282.63 and 8,323.34 is: 11,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.82 : 20,282.63 = 8,323.34 : x
  2. Step 2: Convert to fraction form
    14,696.82/20,282.63 = 8,323.34/x
  3. Step 3: Cross multiply
    14,696.82x = 20,282.63 × 8,323.34
  4. Step 4: Simplify right side
    14,696.82x = 168,819,082.55
  5. Step 5: Solve for x
    x = 168,819,082.55/14,696.82
  6. Step 6: Final answer
    x = 11,486.78

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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.