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Finding the Fourth Proportional to 17,546.79, 24,207.69 and 10,820.75

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Solution

The fourth proportional to 17,546.79, 24,207.69 and 10,820.75 is: 14,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.79 : 24,207.69 = 10,820.75 : x
  2. Step 2: Convert to fraction form
    17,546.79/24,207.69 = 10,820.75/x
  3. Step 3: Cross multiply
    17,546.79x = 24,207.69 × 10,820.75
  4. Step 4: Simplify right side
    17,546.79x = 261,945,257.89
  5. Step 5: Solve for x
    x = 261,945,257.89/17,546.79
  6. Step 6: Final answer
    x = 14,928.39

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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.