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Finding the Fourth Proportional to 13,954.10, 19,251.21 and 7,982.58

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Solution

The fourth proportional to 13,954.10, 19,251.21 and 7,982.58 is: 11,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.10 : 19,251.21 = 7,982.58 : x
  2. Step 2: Convert to fraction form
    13,954.10/19,251.21 = 7,982.58/x
  3. Step 3: Cross multiply
    13,954.10x = 19,251.21 × 7,982.58
  4. Step 4: Simplify right side
    13,954.10x = 153,674,323.92
  5. Step 5: Solve for x
    x = 153,674,323.92/13,954.10
  6. Step 6: Final answer
    x = 11,012.84

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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.