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Finding the Fourth Proportional to 13,728.54, 20,594.16 and 4,961.40

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Solution

The fourth proportional to 13,728.54, 20,594.16 and 4,961.40 is: 7,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.54 : 20,594.16 = 4,961.40 : x
  2. Step 2: Convert to fraction form
    13,728.54/20,594.16 = 4,961.40/x
  3. Step 3: Cross multiply
    13,728.54x = 20,594.16 × 4,961.40
  4. Step 4: Simplify right side
    13,728.54x = 102,175,865.42
  5. Step 5: Solve for x
    x = 102,175,865.42/13,728.54
  6. Step 6: Final answer
    x = 7,442.59

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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.