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Finding the Fourth Proportional to 13,634.96, 18,817.40 and 7,667.19

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Solution

The fourth proportional to 13,634.96, 18,817.40 and 7,667.19 is: 10,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.96 : 18,817.40 = 7,667.19 : x
  2. Step 2: Convert to fraction form
    13,634.96/18,817.40 = 7,667.19/x
  3. Step 3: Cross multiply
    13,634.96x = 18,817.40 × 7,667.19
  4. Step 4: Simplify right side
    13,634.96x = 144,276,542.77
  5. Step 5: Solve for x
    x = 144,276,542.77/13,634.96
  6. Step 6: Final answer
    x = 10,581.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.