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Finding the Fourth Proportional to 13,419.36, 20,133.60 and 4,185.60

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Solution

The fourth proportional to 13,419.36, 20,133.60 and 4,185.60 is: 6,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.36 : 20,133.60 = 4,185.60 : x
  2. Step 2: Convert to fraction form
    13,419.36/20,133.60 = 4,185.60/x
  3. Step 3: Cross multiply
    13,419.36x = 20,133.60 × 4,185.60
  4. Step 4: Simplify right side
    13,419.36x = 84,271,196.16
  5. Step 5: Solve for x
    x = 84,271,196.16/13,419.36
  6. Step 6: Final answer
    x = 6,279.82

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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.