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Finding the Fourth Proportional to 23,027.50, 31,777.95 and 13,091.50

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Solution

The fourth proportional to 23,027.50, 31,777.95 and 13,091.50 is: 18,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.50 : 31,777.95 = 13,091.50 : x
  2. Step 2: Convert to fraction form
    23,027.50/31,777.95 = 13,091.50/x
  3. Step 3: Cross multiply
    23,027.50x = 31,777.95 × 13,091.50
  4. Step 4: Simplify right side
    23,027.50x = 416,021,032.43
  5. Step 5: Solve for x
    x = 416,021,032.43/23,027.50
  6. Step 6: Final answer
    x = 18,066.27

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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.