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Finding the Fourth Proportional to 13,902.38, 19,185.08 and 7,933.89

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Solution

The fourth proportional to 13,902.38, 19,185.08 and 7,933.89 is: 10,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.38 : 19,185.08 = 7,933.89 : x
  2. Step 2: Convert to fraction form
    13,902.38/19,185.08 = 7,933.89/x
  3. Step 3: Cross multiply
    13,902.38x = 19,185.08 × 7,933.89
  4. Step 4: Simplify right side
    13,902.38x = 152,212,314.36
  5. Step 5: Solve for x
    x = 152,212,314.36/13,902.38
  6. Step 6: Final answer
    x = 10,948.65

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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.