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Finding the Fourth Proportional to 26,554.50, 39,831.75 and 8,086.50

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Solution

The fourth proportional to 26,554.50, 39,831.75 and 8,086.50 is: 12,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,554.50 : 39,831.75 = 8,086.50 : x
  2. Step 2: Convert to fraction form
    26,554.50/39,831.75 = 8,086.50/x
  3. Step 3: Cross multiply
    26,554.50x = 39,831.75 × 8,086.50
  4. Step 4: Simplify right side
    26,554.50x = 322,099,446.38
  5. Step 5: Solve for x
    x = 322,099,446.38/26,554.50
  6. Step 6: Final answer
    x = 12,129.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.