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Finding the Fourth Proportional to 18,536, 25,579.68 and 10,152.80

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Solution

The fourth proportional to 18,536, 25,579.68 and 10,152.80 is: 14,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536 : 25,579.68 = 10,152.80 : x
  2. Step 2: Convert to fraction form
    18,536/25,579.68 = 10,152.80/x
  3. Step 3: Cross multiply
    18,536x = 25,579.68 × 10,152.80
  4. Step 4: Simplify right side
    18,536x = 259,705,375.10
  5. Step 5: Solve for x
    x = 259,705,375.10/18,536
  6. Step 6: Final answer
    x = 14,010.86

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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.