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Finding the Fourth Proportional to 17,734.15, 24,472.96 and 9,667.80

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Solution

The fourth proportional to 17,734.15, 24,472.96 and 9,667.80 is: 13,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.15 : 24,472.96 = 9,667.80 : x
  2. Step 2: Convert to fraction form
    17,734.15/24,472.96 = 9,667.80/x
  3. Step 3: Cross multiply
    17,734.15x = 24,472.96 × 9,667.80
  4. Step 4: Simplify right side
    17,734.15x = 236,599,634.35
  5. Step 5: Solve for x
    x = 236,599,634.35/17,734.15
  6. Step 6: Final answer
    x = 13,341.47

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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.