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Finding the Fourth Proportional to 26,014.20, 39,017.34 and 8,484

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Solution

The fourth proportional to 26,014.20, 39,017.34 and 8,484 is: 12,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014.20 : 39,017.34 = 8,484 : x
  2. Step 2: Convert to fraction form
    26,014.20/39,017.34 = 8,484/x
  3. Step 3: Cross multiply
    26,014.20x = 39,017.34 × 8,484
  4. Step 4: Simplify right side
    26,014.20x = 331,023,112.56
  5. Step 5: Solve for x
    x = 331,023,112.56/26,014.20
  6. Step 6: Final answer
    x = 12,724.71

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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.