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Finding the Fourth Proportional to 26,048.84, 35,947.42 and 14,112.07

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Solution

The fourth proportional to 26,048.84, 35,947.42 and 14,112.07 is: 19,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048.84 : 35,947.42 = 14,112.07 : x
  2. Step 2: Convert to fraction form
    26,048.84/35,947.42 = 14,112.07/x
  3. Step 3: Cross multiply
    26,048.84x = 35,947.42 × 14,112.07
  4. Step 4: Simplify right side
    26,048.84x = 507,292,382.21
  5. Step 5: Solve for x
    x = 507,292,382.21/26,048.84
  6. Step 6: Final answer
    x = 19,474.67

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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.