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Finding the Fourth Proportional to 18,778.34, 25,911.42 and 10,394.84

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Solution

The fourth proportional to 18,778.34, 25,911.42 and 10,394.84 is: 14,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.34 : 25,911.42 = 10,394.84 : x
  2. Step 2: Convert to fraction form
    18,778.34/25,911.42 = 10,394.84/x
  3. Step 3: Cross multiply
    18,778.34x = 25,911.42 × 10,394.84
  4. Step 4: Simplify right side
    18,778.34x = 269,345,065.07
  5. Step 5: Solve for x
    x = 269,345,065.07/18,778.34
  6. Step 6: Final answer
    x = 14,343.39

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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.