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Finding the Fourth Proportional to 21,175.56, 31,763.04 and 5,165.16

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Solution

The fourth proportional to 21,175.56, 31,763.04 and 5,165.16 is: 7,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.56 : 31,763.04 = 5,165.16 : x
  2. Step 2: Convert to fraction form
    21,175.56/31,763.04 = 5,165.16/x
  3. Step 3: Cross multiply
    21,175.56x = 31,763.04 × 5,165.16
  4. Step 4: Simplify right side
    21,175.56x = 164,061,183.69
  5. Step 5: Solve for x
    x = 164,061,183.69/21,175.56
  6. Step 6: Final answer
    x = 7,747.67

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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.