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Finding the Fourth Proportional to 13,872.08, 19,142.48 and 7,902.65

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Solution

The fourth proportional to 13,872.08, 19,142.48 and 7,902.65 is: 10,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.08 : 19,142.48 = 7,902.65 : x
  2. Step 2: Convert to fraction form
    13,872.08/19,142.48 = 7,902.65/x
  3. Step 3: Cross multiply
    13,872.08x = 19,142.48 × 7,902.65
  4. Step 4: Simplify right side
    13,872.08x = 151,276,319.57
  5. Step 5: Solve for x
    x = 151,276,319.57/13,872.08
  6. Step 6: Final answer
    x = 10,905.09

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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.