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Finding the Fourth Proportional to 13,787.92, 19,027.08 and 7,500.16

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Solution

The fourth proportional to 13,787.92, 19,027.08 and 7,500.16 is: 10,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.92 : 19,027.08 = 7,500.16 : x
  2. Step 2: Convert to fraction form
    13,787.92/19,027.08 = 7,500.16/x
  3. Step 3: Cross multiply
    13,787.92x = 19,027.08 × 7,500.16
  4. Step 4: Simplify right side
    13,787.92x = 142,706,144.33
  5. Step 5: Solve for x
    x = 142,706,144.33/13,787.92
  6. Step 6: Final answer
    x = 10,350.09

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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.