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Finding the Fourth Proportional to 35,657.73, 53,489.16 and 13,466.97

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Solution

The fourth proportional to 35,657.73, 53,489.16 and 13,466.97 is: 20,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.73 : 53,489.16 = 13,466.97 : x
  2. Step 2: Convert to fraction form
    35,657.73/53,489.16 = 13,466.97/x
  3. Step 3: Cross multiply
    35,657.73x = 53,489.16 × 13,466.97
  4. Step 4: Simplify right side
    35,657.73x = 720,336,913.05
  5. Step 5: Solve for x
    x = 720,336,913.05/35,657.73
  6. Step 6: Final answer
    x = 20,201.42

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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.