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Finding the Fourth Proportional to 26,049.25, 35,947.98 and 14,112.67

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Solution

The fourth proportional to 26,049.25, 35,947.98 and 14,112.67 is: 19,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,049.25 : 35,947.98 = 14,112.67 : x
  2. Step 2: Convert to fraction form
    26,049.25/35,947.98 = 14,112.67/x
  3. Step 3: Cross multiply
    26,049.25x = 35,947.98 × 14,112.67
  4. Step 4: Simplify right side
    26,049.25x = 507,321,978.91
  5. Step 5: Solve for x
    x = 507,321,978.91/26,049.25
  6. Step 6: Final answer
    x = 19,475.49

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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.