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Finding the Fourth Proportional to 13,954.68, 19,244.16 and 9,166.14

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Solution

The fourth proportional to 13,954.68, 19,244.16 and 9,166.14 is: 12,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.68 : 19,244.16 = 9,166.14 : x
  2. Step 2: Convert to fraction form
    13,954.68/19,244.16 = 9,166.14/x
  3. Step 3: Cross multiply
    13,954.68x = 19,244.16 × 9,166.14
  4. Step 4: Simplify right side
    13,954.68x = 176,394,664.74
  5. Step 5: Solve for x
    x = 176,394,664.74/13,954.68
  6. Step 6: Final answer
    x = 12,640.54

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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.