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Finding the Fourth Proportional to 13,586.96, 18,749.94 and 7,619.06

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Solution

The fourth proportional to 13,586.96, 18,749.94 and 7,619.06 is: 10,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.96 : 18,749.94 = 7,619.06 : x
  2. Step 2: Convert to fraction form
    13,586.96/18,749.94 = 7,619.06/x
  3. Step 3: Cross multiply
    13,586.96x = 18,749.94 × 7,619.06
  4. Step 4: Simplify right side
    13,586.96x = 142,856,917.86
  5. Step 5: Solve for x
    x = 142,856,917.86/13,586.96
  6. Step 6: Final answer
    x = 10,514.27

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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.