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Finding the Fourth Proportional to 13,922.18, 19,212.99 and 7,954.82

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Solution

The fourth proportional to 13,922.18, 19,212.99 and 7,954.82 is: 10,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.18 : 19,212.99 = 7,954.82 : x
  2. Step 2: Convert to fraction form
    13,922.18/19,212.99 = 7,954.82/x
  3. Step 3: Cross multiply
    13,922.18x = 19,212.99 × 7,954.82
  4. Step 4: Simplify right side
    13,922.18x = 152,835,877.11
  5. Step 5: Solve for x
    x = 152,835,877.11/13,922.18
  6. Step 6: Final answer
    x = 10,977.87

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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.