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Finding the Fourth Proportional to 13,906.93, 19,191.38 and 7,533.42

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Solution

The fourth proportional to 13,906.93, 19,191.38 and 7,533.42 is: 10,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.93 : 19,191.38 = 7,533.42 : x
  2. Step 2: Convert to fraction form
    13,906.93/19,191.38 = 7,533.42/x
  3. Step 3: Cross multiply
    13,906.93x = 19,191.38 × 7,533.42
  4. Step 4: Simplify right side
    13,906.93x = 144,576,685.65
  5. Step 5: Solve for x
    x = 144,576,685.65/13,906.93
  6. Step 6: Final answer
    x = 10,396.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.