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Finding the Fourth Proportional to 13,399.02, 20,101.91 and 7,857

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Solution

The fourth proportional to 13,399.02, 20,101.91 and 7,857 is: 11,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.02 : 20,101.91 = 7,857 : x
  2. Step 2: Convert to fraction form
    13,399.02/20,101.91 = 7,857/x
  3. Step 3: Cross multiply
    13,399.02x = 20,101.91 × 7,857
  4. Step 4: Simplify right side
    13,399.02x = 157,940,667.59
  5. Step 5: Solve for x
    x = 157,940,667.59/13,399.02
  6. Step 6: Final answer
    x = 11,787.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.