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Finding the Fourth Proportional to 21,049.36, 29,058.64 and 13,094.16

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Solution

The fourth proportional to 21,049.36, 29,058.64 and 13,094.16 is: 18,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.36 : 29,058.64 = 13,094.16 : x
  2. Step 2: Convert to fraction form
    21,049.36/29,058.64 = 13,094.16/x
  3. Step 3: Cross multiply
    21,049.36x = 29,058.64 × 13,094.16
  4. Step 4: Simplify right side
    21,049.36x = 380,498,481.54
  5. Step 5: Solve for x
    x = 380,498,481.54/21,049.36
  6. Step 6: Final answer
    x = 18,076.49

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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.