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Finding the Fourth Proportional to 13,586.91, 18,749.61 and 7,618.56

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Solution

The fourth proportional to 13,586.91, 18,749.61 and 7,618.56 is: 10,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.91 : 18,749.61 = 7,618.56 : x
  2. Step 2: Convert to fraction form
    13,586.91/18,749.61 = 7,618.56/x
  3. Step 3: Cross multiply
    13,586.91x = 18,749.61 × 7,618.56
  4. Step 4: Simplify right side
    13,586.91x = 142,845,028.76
  5. Step 5: Solve for x
    x = 142,845,028.76/13,586.91
  6. Step 6: Final answer
    x = 10,513.43

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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.