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Finding the Fourth Proportional to 19,847.49, 27,387.82 and 10,894.96

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Solution

The fourth proportional to 19,847.49, 27,387.82 and 10,894.96 is: 15,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.49 : 27,387.82 = 10,894.96 : x
  2. Step 2: Convert to fraction form
    19,847.49/27,387.82 = 10,894.96/x
  3. Step 3: Cross multiply
    19,847.49x = 27,387.82 × 10,894.96
  4. Step 4: Simplify right side
    19,847.49x = 298,389,203.39
  5. Step 5: Solve for x
    x = 298,389,203.39/19,847.49
  6. Step 6: Final answer
    x = 15,034.10

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