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Finding the Fourth Proportional to 14,945, 20,629.74 and 11,749.96

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Solution

The fourth proportional to 14,945, 20,629.74 and 11,749.96 is: 16,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945 : 20,629.74 = 11,749.96 : x
  2. Step 2: Convert to fraction form
    14,945/20,629.74 = 11,749.96/x
  3. Step 3: Cross multiply
    14,945x = 20,629.74 × 11,749.96
  4. Step 4: Simplify right side
    14,945x = 242,398,619.81
  5. Step 5: Solve for x
    x = 242,398,619.81/14,945
  6. Step 6: Final answer
    x = 16,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.