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Finding the Fourth Proportional to 14,845.34, 20,489.46 and 9,809.84

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Solution

The fourth proportional to 14,845.34, 20,489.46 and 9,809.84 is: 13,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845.34 : 20,489.46 = 9,809.84 : x
  2. Step 2: Convert to fraction form
    14,845.34/20,489.46 = 9,809.84/x
  3. Step 3: Cross multiply
    14,845.34x = 20,489.46 × 9,809.84
  4. Step 4: Simplify right side
    14,845.34x = 200,998,324.29
  5. Step 5: Solve for x
    x = 200,998,324.29/14,845.34
  6. Step 6: Final answer
    x = 13,539.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.