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Finding the Fourth Proportional to 25,243.48, 34,843.89 and 16,291

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Solution

The fourth proportional to 25,243.48, 34,843.89 and 16,291 is: 22,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.48 : 34,843.89 = 16,291 : x
  2. Step 2: Convert to fraction form
    25,243.48/34,843.89 = 16,291/x
  3. Step 3: Cross multiply
    25,243.48x = 34,843.89 × 16,291
  4. Step 4: Simplify right side
    25,243.48x = 567,641,811.99
  5. Step 5: Solve for x
    x = 567,641,811.99/25,243.48
  6. Step 6: Final answer
    x = 22,486.67

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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.