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Finding the Fourth Proportional to 13,546, 20,301.18 and 5,745.16

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Solution

The fourth proportional to 13,546, 20,301.18 and 5,745.16 is: 8,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546 : 20,301.18 = 5,745.16 : x
  2. Step 2: Convert to fraction form
    13,546/20,301.18 = 5,745.16/x
  3. Step 3: Cross multiply
    13,546x = 20,301.18 × 5,745.16
  4. Step 4: Simplify right side
    13,546x = 116,633,527.29
  5. Step 5: Solve for x
    x = 116,633,527.29/13,546
  6. Step 6: Final answer
    x = 8,610.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.