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Finding the Fourth Proportional to 19,740.30, 27,241.62 and 11,356.80

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Solution

The fourth proportional to 19,740.30, 27,241.62 and 11,356.80 is: 15,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.30 : 27,241.62 = 11,356.80 : x
  2. Step 2: Convert to fraction form
    19,740.30/27,241.62 = 11,356.80/x
  3. Step 3: Cross multiply
    19,740.30x = 27,241.62 × 11,356.80
  4. Step 4: Simplify right side
    19,740.30x = 309,377,630.02
  5. Step 5: Solve for x
    x = 309,377,630.02/19,740.30
  6. Step 6: Final answer
    x = 15,672.39

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Why These Related Problems?

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