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Finding the Fourth Proportional to 13,902.25, 19,185.42 and 7,933.80

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Solution

The fourth proportional to 13,902.25, 19,185.42 and 7,933.80 is: 10,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.25 : 19,185.42 = 7,933.80 : x
  2. Step 2: Convert to fraction form
    13,902.25/19,185.42 = 7,933.80/x
  3. Step 3: Cross multiply
    13,902.25x = 19,185.42 × 7,933.80
  4. Step 4: Simplify right side
    13,902.25x = 152,213,285.20
  5. Step 5: Solve for x
    x = 152,213,285.20/13,902.25
  6. Step 6: Final answer
    x = 10,948.82

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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.