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Finding the Fourth Proportional to 22,744.34, 34,106.18 and 9,589.53

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Solution

The fourth proportional to 22,744.34, 34,106.18 and 9,589.53 is: 14,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.34 : 34,106.18 = 9,589.53 : x
  2. Step 2: Convert to fraction form
    22,744.34/34,106.18 = 9,589.53/x
  3. Step 3: Cross multiply
    22,744.34x = 34,106.18 × 9,589.53
  4. Step 4: Simplify right side
    22,744.34x = 327,062,188.35
  5. Step 5: Solve for x
    x = 327,062,188.35/22,744.34
  6. Step 6: Final answer
    x = 14,379.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.