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Finding the Fourth Proportional to 13,882.77, 20,831.31 and 7,647.75

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Solution

The fourth proportional to 13,882.77, 20,831.31 and 7,647.75 is: 11,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.77 : 20,831.31 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    13,882.77/20,831.31 = 7,647.75/x
  3. Step 3: Cross multiply
    13,882.77x = 20,831.31 × 7,647.75
  4. Step 4: Simplify right side
    13,882.77x = 159,312,651.05
  5. Step 5: Solve for x
    x = 159,312,651.05/13,882.77
  6. Step 6: Final answer
    x = 11,475.57

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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.