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Finding the Fourth Proportional to 13,412.16, 20,120.94 and 5,090.64

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Solution

The fourth proportional to 13,412.16, 20,120.94 and 5,090.64 is: 7,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.16 : 20,120.94 = 5,090.64 : x
  2. Step 2: Convert to fraction form
    13,412.16/20,120.94 = 5,090.64/x
  3. Step 3: Cross multiply
    13,412.16x = 20,120.94 × 5,090.64
  4. Step 4: Simplify right side
    13,412.16x = 102,428,462.00
  5. Step 5: Solve for x
    x = 102,428,462.00/13,412.16
  6. Step 6: Final answer
    x = 7,636.98

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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.