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Finding the Fourth Proportional to 13,586.07, 18,745.23 and 7,842.12

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Solution

The fourth proportional to 13,586.07, 18,745.23 and 7,842.12 is: 10,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.07 : 18,745.23 = 7,842.12 : x
  2. Step 2: Convert to fraction form
    13,586.07/18,745.23 = 7,842.12/x
  3. Step 3: Cross multiply
    13,586.07x = 18,745.23 × 7,842.12
  4. Step 4: Simplify right side
    13,586.07x = 147,002,243.39
  5. Step 5: Solve for x
    x = 147,002,243.39/13,586.07
  6. Step 6: Final answer
    x = 10,820.07

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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.