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Finding the Fourth Proportional to 18,794.50, 25,937.22 and 10,411

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Solution

The fourth proportional to 18,794.50, 25,937.22 and 10,411 is: 14,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794.50 : 25,937.22 = 10,411 : x
  2. Step 2: Convert to fraction form
    18,794.50/25,937.22 = 10,411/x
  3. Step 3: Cross multiply
    18,794.50x = 25,937.22 × 10,411
  4. Step 4: Simplify right side
    18,794.50x = 270,032,397.42
  5. Step 5: Solve for x
    x = 270,032,397.42/18,794.50
  6. Step 6: Final answer
    x = 14,367.63

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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.