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Finding the Fourth Proportional to 18,782, 25,919.16 and 10,398.56

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Solution

The fourth proportional to 18,782, 25,919.16 and 10,398.56 is: 14,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782 : 25,919.16 = 10,398.56 : x
  2. Step 2: Convert to fraction form
    18,782/25,919.16 = 10,398.56/x
  3. Step 3: Cross multiply
    18,782x = 25,919.16 × 10,398.56
  4. Step 4: Simplify right side
    18,782x = 269,521,940.41
  5. Step 5: Solve for x
    x = 269,521,940.41/18,782
  6. Step 6: Final answer
    x = 14,350.01

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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.