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Finding the Fourth Proportional to 17,638.85, 24,340.34 and 9,679.79

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Solution

The fourth proportional to 17,638.85, 24,340.34 and 9,679.79 is: 13,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.85 : 24,340.34 = 9,679.79 : x
  2. Step 2: Convert to fraction form
    17,638.85/24,340.34 = 9,679.79/x
  3. Step 3: Cross multiply
    17,638.85x = 24,340.34 × 9,679.79
  4. Step 4: Simplify right side
    17,638.85x = 235,609,209.63
  5. Step 5: Solve for x
    x = 235,609,209.63/17,638.85
  6. Step 6: Final answer
    x = 13,357.41

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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.