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Finding the Fourth Proportional to 17,589.89, 24,274.05 and 9,632.63

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Solution

The fourth proportional to 17,589.89, 24,274.05 and 9,632.63 is: 13,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.89 : 24,274.05 = 9,632.63 : x
  2. Step 2: Convert to fraction form
    17,589.89/24,274.05 = 9,632.63/x
  3. Step 3: Cross multiply
    17,589.89x = 24,274.05 × 9,632.63
  4. Step 4: Simplify right side
    17,589.89x = 233,822,942.25
  5. Step 5: Solve for x
    x = 233,822,942.25/17,589.89
  6. Step 6: Final answer
    x = 13,293.03

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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.