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Finding the Fourth Proportional to 20,622.83, 30,938.09 and 9,522.18

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Solution

The fourth proportional to 20,622.83, 30,938.09 and 9,522.18 is: 14,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622.83 : 30,938.09 = 9,522.18 : x
  2. Step 2: Convert to fraction form
    20,622.83/30,938.09 = 9,522.18/x
  3. Step 3: Cross multiply
    20,622.83x = 30,938.09 × 9,522.18
  4. Step 4: Simplify right side
    20,622.83x = 294,598,014.23
  5. Step 5: Solve for x
    x = 294,598,014.23/20,622.83
  6. Step 6: Final answer
    x = 14,285.05

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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.