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Finding the Fourth Proportional to 13,133.80, 19,683.60 and 5,333.50

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Solution

The fourth proportional to 13,133.80, 19,683.60 and 5,333.50 is: 7,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.80 : 19,683.60 = 5,333.50 : x
  2. Step 2: Convert to fraction form
    13,133.80/19,683.60 = 5,333.50/x
  3. Step 3: Cross multiply
    13,133.80x = 19,683.60 × 5,333.50
  4. Step 4: Simplify right side
    13,133.80x = 104,982,480.60
  5. Step 5: Solve for x
    x = 104,982,480.60/13,133.80
  6. Step 6: Final answer
    x = 7,993.31

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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.