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Finding the Fourth Proportional to 14,109.50, 19,471.02 and 7,736.37

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Solution

The fourth proportional to 14,109.50, 19,471.02 and 7,736.37 is: 10,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.50 : 19,471.02 = 7,736.37 : x
  2. Step 2: Convert to fraction form
    14,109.50/19,471.02 = 7,736.37/x
  3. Step 3: Cross multiply
    14,109.50x = 19,471.02 × 7,736.37
  4. Step 4: Simplify right side
    14,109.50x = 150,635,015.00
  5. Step 5: Solve for x
    x = 150,635,015.00/14,109.50
  6. Step 6: Final answer
    x = 10,676.15

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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.