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Finding the Fourth Proportional to 15,804.82, 23,690.20 and 8,401.82

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Solution

The fourth proportional to 15,804.82, 23,690.20 and 8,401.82 is: 12,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.82 : 23,690.20 = 8,401.82 : x
  2. Step 2: Convert to fraction form
    15,804.82/23,690.20 = 8,401.82/x
  3. Step 3: Cross multiply
    15,804.82x = 23,690.20 × 8,401.82
  4. Step 4: Simplify right side
    15,804.82x = 199,040,796.16
  5. Step 5: Solve for x
    x = 199,040,796.16/15,804.82
  6. Step 6: Final answer
    x = 12,593.68

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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.