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Finding the Fourth Proportional to 22,548.36, 31,121.64 and 13,118.16

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Solution

The fourth proportional to 22,548.36, 31,121.64 and 13,118.16 is: 18,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.36 : 31,121.64 = 13,118.16 : x
  2. Step 2: Convert to fraction form
    22,548.36/31,121.64 = 13,118.16/x
  3. Step 3: Cross multiply
    22,548.36x = 31,121.64 × 13,118.16
  4. Step 4: Simplify right side
    22,548.36x = 408,258,652.98
  5. Step 5: Solve for x
    x = 408,258,652.98/22,548.36
  6. Step 6: Final answer
    x = 18,105.91

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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.