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Finding the Fourth Proportional to 17,667.54, 24,380.46 and 9,709.29

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Solution

The fourth proportional to 17,667.54, 24,380.46 and 9,709.29 is: 13,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.54 : 24,380.46 = 9,709.29 : x
  2. Step 2: Convert to fraction form
    17,667.54/24,380.46 = 9,709.29/x
  3. Step 3: Cross multiply
    17,667.54x = 24,380.46 × 9,709.29
  4. Step 4: Simplify right side
    17,667.54x = 236,716,956.47
  5. Step 5: Solve for x
    x = 236,716,956.47/17,667.54
  6. Step 6: Final answer
    x = 13,398.41

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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.