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Finding the Fourth Proportional to 17,596.50, 24,282.87 and 9,638.70

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Solution

The fourth proportional to 17,596.50, 24,282.87 and 9,638.70 is: 13,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.50 : 24,282.87 = 9,638.70 : x
  2. Step 2: Convert to fraction form
    17,596.50/24,282.87 = 9,638.70/x
  3. Step 3: Cross multiply
    17,596.50x = 24,282.87 × 9,638.70
  4. Step 4: Simplify right side
    17,596.50x = 234,055,299.07
  5. Step 5: Solve for x
    x = 234,055,299.07/17,596.50
  6. Step 6: Final answer
    x = 13,301.24

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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.