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Finding the Fourth Proportional to 22,662.37, 31,271.67 and 13,100.75

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Solution

The fourth proportional to 22,662.37, 31,271.67 and 13,100.75 is: 18,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.37 : 31,271.67 = 13,100.75 : x
  2. Step 2: Convert to fraction form
    22,662.37/31,271.67 = 13,100.75/x
  3. Step 3: Cross multiply
    22,662.37x = 31,271.67 × 13,100.75
  4. Step 4: Simplify right side
    22,662.37x = 409,682,141.64
  5. Step 5: Solve for x
    x = 409,682,141.64/22,662.37
  6. Step 6: Final answer
    x = 18,077.64

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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.