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Finding the Fourth Proportional to 16,745.14, 25,116.97 and 5,058

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Solution

The fourth proportional to 16,745.14, 25,116.97 and 5,058 is: 7,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.14 : 25,116.97 = 5,058 : x
  2. Step 2: Convert to fraction form
    16,745.14/25,116.97 = 5,058/x
  3. Step 3: Cross multiply
    16,745.14x = 25,116.97 × 5,058
  4. Step 4: Simplify right side
    16,745.14x = 127,041,634.26
  5. Step 5: Solve for x
    x = 127,041,634.26/16,745.14
  6. Step 6: Final answer
    x = 7,586.78

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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.