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Finding the Fourth Proportional to 20,894.76, 31,339.26 and 7,745.31

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Solution

The fourth proportional to 20,894.76, 31,339.26 and 7,745.31 is: 11,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.76 : 31,339.26 = 7,745.31 : x
  2. Step 2: Convert to fraction form
    20,894.76/31,339.26 = 7,745.31/x
  3. Step 3: Cross multiply
    20,894.76x = 31,339.26 × 7,745.31
  4. Step 4: Simplify right side
    20,894.76x = 242,732,283.87
  5. Step 5: Solve for x
    x = 242,732,283.87/20,894.76
  6. Step 6: Final answer
    x = 11,616.90

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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.