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Finding the Fourth Proportional to 26,023.52, 35,912.55 and 14,087

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Solution

The fourth proportional to 26,023.52, 35,912.55 and 14,087 is: 19,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023.52 : 35,912.55 = 14,087 : x
  2. Step 2: Convert to fraction form
    26,023.52/35,912.55 = 14,087/x
  3. Step 3: Cross multiply
    26,023.52x = 35,912.55 × 14,087
  4. Step 4: Simplify right side
    26,023.52x = 505,900,091.85
  5. Step 5: Solve for x
    x = 505,900,091.85/26,023.52
  6. Step 6: Final answer
    x = 19,440.11

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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.