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Finding the Fourth Proportional to 13,872.82, 19,141.50 and 7,902.85

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Solution

The fourth proportional to 13,872.82, 19,141.50 and 7,902.85 is: 10,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.82 : 19,141.50 = 7,902.85 : x
  2. Step 2: Convert to fraction form
    13,872.82/19,141.50 = 7,902.85/x
  3. Step 3: Cross multiply
    13,872.82x = 19,141.50 × 7,902.85
  4. Step 4: Simplify right side
    13,872.82x = 151,272,403.28
  5. Step 5: Solve for x
    x = 151,272,403.28/13,872.82
  6. Step 6: Final answer
    x = 10,904.23

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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.