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Finding the Fourth Proportional to 13,494.56, 20,247.60 and 7,642.40

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Solution

The fourth proportional to 13,494.56, 20,247.60 and 7,642.40 is: 11,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.56 : 20,247.60 = 7,642.40 : x
  2. Step 2: Convert to fraction form
    13,494.56/20,247.60 = 7,642.40/x
  3. Step 3: Cross multiply
    13,494.56x = 20,247.60 × 7,642.40
  4. Step 4: Simplify right side
    13,494.56x = 154,740,258.24
  5. Step 5: Solve for x
    x = 154,740,258.24/13,494.56
  6. Step 6: Final answer
    x = 11,466.86

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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.