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Finding the Fourth Proportional to 18,290, 25,240.38 and 9,906.68

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Solution

The fourth proportional to 18,290, 25,240.38 and 9,906.68 is: 13,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290 : 25,240.38 = 9,906.68 : x
  2. Step 2: Convert to fraction form
    18,290/25,240.38 = 9,906.68/x
  3. Step 3: Cross multiply
    18,290x = 25,240.38 × 9,906.68
  4. Step 4: Simplify right side
    18,290x = 250,048,367.74
  5. Step 5: Solve for x
    x = 250,048,367.74/18,290
  6. Step 6: Final answer
    x = 13,671.32

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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.