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Finding the Fourth Proportional to 20,770.64, 31,172.35 and 7,626.77

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Solution

The fourth proportional to 20,770.64, 31,172.35 and 7,626.77 is: 11,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.64 : 31,172.35 = 7,626.77 : x
  2. Step 2: Convert to fraction form
    20,770.64/31,172.35 = 7,626.77/x
  3. Step 3: Cross multiply
    20,770.64x = 31,172.35 × 7,626.77
  4. Step 4: Simplify right side
    20,770.64x = 237,744,343.81
  5. Step 5: Solve for x
    x = 237,744,343.81/20,770.64
  6. Step 6: Final answer
    x = 11,446.17

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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.