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Finding the Fourth Proportional to 19,018.50, 26,245.62 and 10,635

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Solution

The fourth proportional to 19,018.50, 26,245.62 and 10,635 is: 14,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,018.50 : 26,245.62 = 10,635 : x
  2. Step 2: Convert to fraction form
    19,018.50/26,245.62 = 10,635/x
  3. Step 3: Cross multiply
    19,018.50x = 26,245.62 × 10,635
  4. Step 4: Simplify right side
    19,018.50x = 279,122,168.70
  5. Step 5: Solve for x
    x = 279,122,168.70/19,018.50
  6. Step 6: Final answer
    x = 14,676.35

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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.