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Finding the Fourth Proportional to 13,416.14, 20,124.22 and 5,096.16

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Solution

The fourth proportional to 13,416.14, 20,124.22 and 5,096.16 is: 7,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.14 : 20,124.22 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    13,416.14/20,124.22 = 5,096.16/x
  3. Step 3: Cross multiply
    13,416.14x = 20,124.22 × 5,096.16
  4. Step 4: Simplify right side
    13,416.14x = 102,556,245.00
  5. Step 5: Solve for x
    x = 102,556,245.00/13,416.14
  6. Step 6: Final answer
    x = 7,644.24

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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.