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Finding the Fourth Proportional to 17,589.98, 24,273.06 and 9,632.30

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Solution

The fourth proportional to 17,589.98, 24,273.06 and 9,632.30 is: 13,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.98 : 24,273.06 = 9,632.30 : x
  2. Step 2: Convert to fraction form
    17,589.98/24,273.06 = 9,632.30/x
  3. Step 3: Cross multiply
    17,589.98x = 24,273.06 × 9,632.30
  4. Step 4: Simplify right side
    17,589.98x = 233,805,395.84
  5. Step 5: Solve for x
    x = 233,805,395.84/17,589.98
  6. Step 6: Final answer
    x = 13,291.96

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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.