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Finding the Fourth Proportional to 26,021.16, 39,037.94 and 8,491

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Solution

The fourth proportional to 26,021.16, 39,037.94 and 8,491 is: 12,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,021.16 : 39,037.94 = 8,491 : x
  2. Step 2: Convert to fraction form
    26,021.16/39,037.94 = 8,491/x
  3. Step 3: Cross multiply
    26,021.16x = 39,037.94 × 8,491
  4. Step 4: Simplify right side
    26,021.16x = 331,471,148.54
  5. Step 5: Solve for x
    x = 331,471,148.54/26,021.16
  6. Step 6: Final answer
    x = 12,738.52

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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.