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Finding the Fourth Proportional to 20,417.81, 30,626.72 and 5,626.88

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Solution

The fourth proportional to 20,417.81, 30,626.72 and 5,626.88 is: 8,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.81 : 30,626.72 = 5,626.88 : x
  2. Step 2: Convert to fraction form
    20,417.81/30,626.72 = 5,626.88/x
  3. Step 3: Cross multiply
    20,417.81x = 30,626.72 × 5,626.88
  4. Step 4: Simplify right side
    20,417.81x = 172,332,696.97
  5. Step 5: Solve for x
    x = 172,332,696.97/20,417.81
  6. Step 6: Final answer
    x = 8,440.31

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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.