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Finding the Fourth Proportional to 20,609.49, 30,892.65 and 9,523.45

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Solution

The fourth proportional to 20,609.49, 30,892.65 and 9,523.45 is: 14,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.49 : 30,892.65 = 9,523.45 : x
  2. Step 2: Convert to fraction form
    20,609.49/30,892.65 = 9,523.45/x
  3. Step 3: Cross multiply
    20,609.49x = 30,892.65 × 9,523.45
  4. Step 4: Simplify right side
    20,609.49x = 294,204,607.64
  5. Step 5: Solve for x
    x = 294,204,607.64/20,609.49
  6. Step 6: Final answer
    x = 14,275.20

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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.