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Finding the Fourth Proportional to 13,540.76, 20,304.12 and 6,141.68

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Solution

The fourth proportional to 13,540.76, 20,304.12 and 6,141.68 is: 9,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.76 : 20,304.12 = 6,141.68 : x
  2. Step 2: Convert to fraction form
    13,540.76/20,304.12 = 6,141.68/x
  3. Step 3: Cross multiply
    13,540.76x = 20,304.12 × 6,141.68
  4. Step 4: Simplify right side
    13,540.76x = 124,701,407.72
  5. Step 5: Solve for x
    x = 124,701,407.72/13,540.76
  6. Step 6: Final answer
    x = 9,209.34

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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.