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Finding the Fourth Proportional to 20,522.21, 30,785.06 and 6,478.48

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Solution

The fourth proportional to 20,522.21, 30,785.06 and 6,478.48 is: 9,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.21 : 30,785.06 = 6,478.48 : x
  2. Step 2: Convert to fraction form
    20,522.21/30,785.06 = 6,478.48/x
  3. Step 3: Cross multiply
    20,522.21x = 30,785.06 × 6,478.48
  4. Step 4: Simplify right side
    20,522.21x = 199,440,209.19
  5. Step 5: Solve for x
    x = 199,440,209.19/20,522.21
  6. Step 6: Final answer
    x = 9,718.26

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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.