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Finding the Fourth Proportional to 14,709.36, 20,296.76 and 8,741.28

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Solution

The fourth proportional to 14,709.36, 20,296.76 and 8,741.28 is: 12,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.36 : 20,296.76 = 8,741.28 : x
  2. Step 2: Convert to fraction form
    14,709.36/20,296.76 = 8,741.28/x
  3. Step 3: Cross multiply
    14,709.36x = 20,296.76 × 8,741.28
  4. Step 4: Simplify right side
    14,709.36x = 177,419,662.25
  5. Step 5: Solve for x
    x = 177,419,662.25/14,709.36
  6. Step 6: Final answer
    x = 12,061.68

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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.