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Finding the Fourth Proportional to 21,974.60, 32,940.30 and 19,641.80

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Solution

The fourth proportional to 21,974.60, 32,940.30 and 19,641.80 is: 29,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.60 : 32,940.30 = 19,641.80 : x
  2. Step 2: Convert to fraction form
    21,974.60/32,940.30 = 19,641.80/x
  3. Step 3: Cross multiply
    21,974.60x = 32,940.30 × 19,641.80
  4. Step 4: Simplify right side
    21,974.60x = 647,006,784.54
  5. Step 5: Solve for x
    x = 647,006,784.54/21,974.60
  6. Step 6: Final answer
    x = 29,443.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.