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Finding the Fourth Proportional to 26,021.28, 39,038.13 and 8,491.14

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Solution

The fourth proportional to 26,021.28, 39,038.13 and 8,491.14 is: 12,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,021.28 : 39,038.13 = 8,491.14 : x
  2. Step 2: Convert to fraction form
    26,021.28/39,038.13 = 8,491.14/x
  3. Step 3: Cross multiply
    26,021.28x = 39,038.13 × 8,491.14
  4. Step 4: Simplify right side
    26,021.28x = 331,478,227.17
  5. Step 5: Solve for x
    x = 331,478,227.17/26,021.28
  6. Step 6: Final answer
    x = 12,738.74

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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.