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Finding the Fourth Proportional to 20,058, 27,680.10 and 11,106.12

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Solution

The fourth proportional to 20,058, 27,680.10 and 11,106.12 is: 15,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 27,680.10 = 11,106.12 : x
  2. Step 2: Convert to fraction form
    20,058/27,680.10 = 11,106.12/x
  3. Step 3: Cross multiply
    20,058x = 27,680.10 × 11,106.12
  4. Step 4: Simplify right side
    20,058x = 307,418,512.21
  5. Step 5: Solve for x
    x = 307,418,512.21/20,058
  6. Step 6: Final answer
    x = 15,326.48

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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.