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Finding the Fourth Proportional to 13,229.36, 19,841.16 and 6,653.60

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Solution

The fourth proportional to 13,229.36, 19,841.16 and 6,653.60 is: 9,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.36 : 19,841.16 = 6,653.60 : x
  2. Step 2: Convert to fraction form
    13,229.36/19,841.16 = 6,653.60/x
  3. Step 3: Cross multiply
    13,229.36x = 19,841.16 × 6,653.60
  4. Step 4: Simplify right side
    13,229.36x = 132,015,142.18
  5. Step 5: Solve for x
    x = 132,015,142.18/13,229.36
  6. Step 6: Final answer
    x = 9,978.95

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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.