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Finding the Fourth Proportional to 19,741.66, 29,608.43 and 7,257.33

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Solution

The fourth proportional to 19,741.66, 29,608.43 and 7,257.33 is: 10,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741.66 : 29,608.43 = 7,257.33 : x
  2. Step 2: Convert to fraction form
    19,741.66/29,608.43 = 7,257.33/x
  3. Step 3: Cross multiply
    19,741.66x = 29,608.43 × 7,257.33
  4. Step 4: Simplify right side
    19,741.66x = 214,878,147.29
  5. Step 5: Solve for x
    x = 214,878,147.29/19,741.66
  6. Step 6: Final answer
    x = 10,884.50

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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.