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Finding the Fourth Proportional to 19,408.57, 29,112.84 and 6,081.66

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Solution

The fourth proportional to 19,408.57, 29,112.84 and 6,081.66 is: 9,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.57 : 29,112.84 = 6,081.66 : x
  2. Step 2: Convert to fraction form
    19,408.57/29,112.84 = 6,081.66/x
  3. Step 3: Cross multiply
    19,408.57x = 29,112.84 × 6,081.66
  4. Step 4: Simplify right side
    19,408.57x = 177,054,394.51
  5. Step 5: Solve for x
    x = 177,054,394.51/19,408.57
  6. Step 6: Final answer
    x = 9,122.49

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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.