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Finding the Fourth Proportional to 13,902.14, 19,184.73 and 7,933.65

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Solution

The fourth proportional to 13,902.14, 19,184.73 and 7,933.65 is: 10,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.14 : 19,184.73 = 7,933.65 : x
  2. Step 2: Convert to fraction form
    13,902.14/19,184.73 = 7,933.65/x
  3. Step 3: Cross multiply
    13,902.14x = 19,184.73 × 7,933.65
  4. Step 4: Simplify right side
    13,902.14x = 152,204,933.16
  5. Step 5: Solve for x
    x = 152,204,933.16/13,902.14
  6. Step 6: Final answer
    x = 10,948.31

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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.