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Finding the Fourth Proportional to 16,819.21, 23,218.19 and 11,977.07

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Solution

The fourth proportional to 16,819.21, 23,218.19 and 11,977.07 is: 16,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.21 : 23,218.19 = 11,977.07 : x
  2. Step 2: Convert to fraction form
    16,819.21/23,218.19 = 11,977.07/x
  3. Step 3: Cross multiply
    16,819.21x = 23,218.19 × 11,977.07
  4. Step 4: Simplify right side
    16,819.21x = 278,085,823.21
  5. Step 5: Solve for x
    x = 278,085,823.21/16,819.21
  6. Step 6: Final answer
    x = 16,533.82

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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.