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Finding the Fourth Proportional to 15,058.29, 20,778.70 and 8,342.20

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Solution

The fourth proportional to 15,058.29, 20,778.70 and 8,342.20 is: 11,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058.29 : 20,778.70 = 8,342.20 : x
  2. Step 2: Convert to fraction form
    15,058.29/20,778.70 = 8,342.20/x
  3. Step 3: Cross multiply
    15,058.29x = 20,778.70 × 8,342.20
  4. Step 4: Simplify right side
    15,058.29x = 173,340,071.14
  5. Step 5: Solve for x
    x = 173,340,071.14/15,058.29
  6. Step 6: Final answer
    x = 11,511.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.