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Finding the Fourth Proportional to 17,744.02, 26,625.06 and 11,824.96

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Solution

The fourth proportional to 17,744.02, 26,625.06 and 11,824.96 is: 17,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.02 : 26,625.06 = 11,824.96 : x
  2. Step 2: Convert to fraction form
    17,744.02/26,625.06 = 11,824.96/x
  3. Step 3: Cross multiply
    17,744.02x = 26,625.06 × 11,824.96
  4. Step 4: Simplify right side
    17,744.02x = 314,840,269.50
  5. Step 5: Solve for x
    x = 314,840,269.50/17,744.02
  6. Step 6: Final answer
    x = 17,743.46

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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.