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Finding the Fourth Proportional to 15,058.42, 20,778.54 and 8,342.38

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Solution

The fourth proportional to 15,058.42, 20,778.54 and 8,342.38 is: 11,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058.42 : 20,778.54 = 8,342.38 : x
  2. Step 2: Convert to fraction form
    15,058.42/20,778.54 = 8,342.38/x
  3. Step 3: Cross multiply
    15,058.42x = 20,778.54 × 8,342.38
  4. Step 4: Simplify right side
    15,058.42x = 173,342,476.53
  5. Step 5: Solve for x
    x = 173,342,476.53/15,058.42
  6. Step 6: Final answer
    x = 11,511.33

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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.