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Finding the Fourth Proportional to 20,977.37, 28,949.01 and 11,546

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Solution

The fourth proportional to 20,977.37, 28,949.01 and 11,546 is: 15,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.37 : 28,949.01 = 11,546 : x
  2. Step 2: Convert to fraction form
    20,977.37/28,949.01 = 11,546/x
  3. Step 3: Cross multiply
    20,977.37x = 28,949.01 × 11,546
  4. Step 4: Simplify right side
    20,977.37x = 334,245,269.46
  5. Step 5: Solve for x
    x = 334,245,269.46/20,977.37
  6. Step 6: Final answer
    x = 15,933.61

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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.