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Finding the Fourth Proportional to 21,152.72, 31,694.52 and 13,336.40

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Solution

The fourth proportional to 21,152.72, 31,694.52 and 13,336.40 is: 19,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.72 : 31,694.52 = 13,336.40 : x
  2. Step 2: Convert to fraction form
    21,152.72/31,694.52 = 13,336.40/x
  3. Step 3: Cross multiply
    21,152.72x = 31,694.52 × 13,336.40
  4. Step 4: Simplify right side
    21,152.72x = 422,690,796.53
  5. Step 5: Solve for x
    x = 422,690,796.53/21,152.72
  6. Step 6: Final answer
    x = 19,982.81

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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.