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Finding the Fourth Proportional to 13,454.16, 20,181.24 and 4,094.16

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Solution

The fourth proportional to 13,454.16, 20,181.24 and 4,094.16 is: 6,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.16 : 20,181.24 = 4,094.16 : x
  2. Step 2: Convert to fraction form
    13,454.16/20,181.24 = 4,094.16/x
  3. Step 3: Cross multiply
    13,454.16x = 20,181.24 × 4,094.16
  4. Step 4: Simplify right side
    13,454.16x = 82,625,225.56
  5. Step 5: Solve for x
    x = 82,625,225.56/13,454.16
  6. Step 6: Final answer
    x = 6,141.24

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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.