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Finding the Fourth Proportional to 21,838.50, 32,906.48 and 19,451.52

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Solution

The fourth proportional to 21,838.50, 32,906.48 and 19,451.52 is: 29,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.50 : 32,906.48 = 19,451.52 : x
  2. Step 2: Convert to fraction form
    21,838.50/32,906.48 = 19,451.52/x
  3. Step 3: Cross multiply
    21,838.50x = 32,906.48 × 19,451.52
  4. Step 4: Simplify right side
    21,838.50x = 640,080,956.59
  5. Step 5: Solve for x
    x = 640,080,956.59/21,838.50
  6. Step 6: Final answer
    x = 29,309.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.