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Finding the Fourth Proportional to 20,630.42, 30,940.64 and 9,526.43

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Solution

The fourth proportional to 20,630.42, 30,940.64 and 9,526.43 is: 14,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630.42 : 30,940.64 = 9,526.43 : x
  2. Step 2: Convert to fraction form
    20,630.42/30,940.64 = 9,526.43/x
  3. Step 3: Cross multiply
    20,630.42x = 30,940.64 × 9,526.43
  4. Step 4: Simplify right side
    20,630.42x = 294,753,826.26
  5. Step 5: Solve for x
    x = 294,753,826.26/20,630.42
  6. Step 6: Final answer
    x = 14,287.34

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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.