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Finding the Fourth Proportional to 18,581, 25,641.82 and 10,197.48

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Solution

The fourth proportional to 18,581, 25,641.82 and 10,197.48 is: 14,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581 : 25,641.82 = 10,197.48 : x
  2. Step 2: Convert to fraction form
    18,581/25,641.82 = 10,197.48/x
  3. Step 3: Cross multiply
    18,581x = 25,641.82 × 10,197.48
  4. Step 4: Simplify right side
    18,581x = 261,481,946.61
  5. Step 5: Solve for x
    x = 261,481,946.61/18,581
  6. Step 6: Final answer
    x = 14,072.54

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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.