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Finding the Fourth Proportional to 17,189.29, 23,722.90 and 9,635.63

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Solution

The fourth proportional to 17,189.29, 23,722.90 and 9,635.63 is: 13,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.29 : 23,722.90 = 9,635.63 : x
  2. Step 2: Convert to fraction form
    17,189.29/23,722.90 = 9,635.63/x
  3. Step 3: Cross multiply
    17,189.29x = 23,722.90 × 9,635.63
  4. Step 4: Simplify right side
    17,189.29x = 228,585,122.15
  5. Step 5: Solve for x
    x = 228,585,122.15/17,189.29
  6. Step 6: Final answer
    x = 13,298.12

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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.