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Finding the Fourth Proportional to 18,016, 24,861.60 and 10,058

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Solution

The fourth proportional to 18,016, 24,861.60 and 10,058 is: 13,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,016 : 24,861.60 = 10,058 : x
  2. Step 2: Convert to fraction form
    18,016/24,861.60 = 10,058/x
  3. Step 3: Cross multiply
    18,016x = 24,861.60 × 10,058
  4. Step 4: Simplify right side
    18,016x = 250,057,972.80
  5. Step 5: Solve for x
    x = 250,057,972.80/18,016
  6. Step 6: Final answer
    x = 13,879.77

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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.