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Finding the Fourth Proportional to 13,586.12, 18,749.54 and 7,617.43

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Solution

The fourth proportional to 13,586.12, 18,749.54 and 7,617.43 is: 10,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.12 : 18,749.54 = 7,617.43 : x
  2. Step 2: Convert to fraction form
    13,586.12/18,749.54 = 7,617.43/x
  3. Step 3: Cross multiply
    13,586.12x = 18,749.54 × 7,617.43
  4. Step 4: Simplify right side
    13,586.12x = 142,823,223.52
  5. Step 5: Solve for x
    x = 142,823,223.52/13,586.12
  6. Step 6: Final answer
    x = 10,512.44

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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.