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Finding the Fourth Proportional to 13,204.20, 19,807.20 and 4,197.60

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Solution

The fourth proportional to 13,204.20, 19,807.20 and 4,197.60 is: 6,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.20 : 19,807.20 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    13,204.20/19,807.20 = 4,197.60/x
  3. Step 3: Cross multiply
    13,204.20x = 19,807.20 × 4,197.60
  4. Step 4: Simplify right side
    13,204.20x = 83,142,702.72
  5. Step 5: Solve for x
    x = 83,142,702.72/13,204.20
  6. Step 6: Final answer
    x = 6,296.69

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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.