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Finding the Fourth Proportional to 22,744.80, 34,121.81 and 9,597.15

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Solution

The fourth proportional to 22,744.80, 34,121.81 and 9,597.15 is: 14,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.80 : 34,121.81 = 9,597.15 : x
  2. Step 2: Convert to fraction form
    22,744.80/34,121.81 = 9,597.15/x
  3. Step 3: Cross multiply
    22,744.80x = 34,121.81 × 9,597.15
  4. Step 4: Simplify right side
    22,744.80x = 327,472,080.86
  5. Step 5: Solve for x
    x = 327,472,080.86/22,744.80
  6. Step 6: Final answer
    x = 14,397.67

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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.