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Finding the Fourth Proportional to 13,536.27, 20,301.93 and 6,138.95

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Solution

The fourth proportional to 13,536.27, 20,301.93 and 6,138.95 is: 9,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.27 : 20,301.93 = 6,138.95 : x
  2. Step 2: Convert to fraction form
    13,536.27/20,301.93 = 6,138.95/x
  3. Step 3: Cross multiply
    13,536.27x = 20,301.93 × 6,138.95
  4. Step 4: Simplify right side
    13,536.27x = 124,632,431.66
  5. Step 5: Solve for x
    x = 124,632,431.66/13,536.27
  6. Step 6: Final answer
    x = 9,207.30

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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.