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Finding the Fourth Proportional to 15,468, 23,201.91 and 3,781.14

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Solution

The fourth proportional to 15,468, 23,201.91 and 3,781.14 is: 5,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468 : 23,201.91 = 3,781.14 : x
  2. Step 2: Convert to fraction form
    15,468/23,201.91 = 3,781.14/x
  3. Step 3: Cross multiply
    15,468x = 23,201.91 × 3,781.14
  4. Step 4: Simplify right side
    15,468x = 87,729,669.98
  5. Step 5: Solve for x
    x = 87,729,669.98/15,468
  6. Step 6: Final answer
    x = 5,671.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.