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Finding the Fourth Proportional to 17,634.34, 24,335.22 and 9,676.59

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Solution

The fourth proportional to 17,634.34, 24,335.22 and 9,676.59 is: 13,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.34 : 24,335.22 = 9,676.59 : x
  2. Step 2: Convert to fraction form
    17,634.34/24,335.22 = 9,676.59/x
  3. Step 3: Cross multiply
    17,634.34x = 24,335.22 × 9,676.59
  4. Step 4: Simplify right side
    17,634.34x = 235,481,946.50
  5. Step 5: Solve for x
    x = 235,481,946.50/17,634.34
  6. Step 6: Final answer
    x = 13,353.60

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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.