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Finding the Fourth Proportional to 13,196.80, 19,816.80 and 8,833.60

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Solution

The fourth proportional to 13,196.80, 19,816.80 and 8,833.60 is: 13,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.80 : 19,816.80 = 8,833.60 : x
  2. Step 2: Convert to fraction form
    13,196.80/19,816.80 = 8,833.60/x
  3. Step 3: Cross multiply
    13,196.80x = 19,816.80 × 8,833.60
  4. Step 4: Simplify right side
    13,196.80x = 175,053,684.48
  5. Step 5: Solve for x
    x = 175,053,684.48/13,196.80
  6. Step 6: Final answer
    x = 13,264.86

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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.