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Finding the Fourth Proportional to 13,717, 18,910.02 and 9,747.19

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Solution

The fourth proportional to 13,717, 18,910.02 and 9,747.19 is: 13,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717 : 18,910.02 = 9,747.19 : x
  2. Step 2: Convert to fraction form
    13,717/18,910.02 = 9,747.19/x
  3. Step 3: Cross multiply
    13,717x = 18,910.02 × 9,747.19
  4. Step 4: Simplify right side
    13,717x = 184,319,557.84
  5. Step 5: Solve for x
    x = 184,319,557.84/13,717
  6. Step 6: Final answer
    x = 13,437.31

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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.