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Finding the Fourth Proportional to 13,356.50, 20,033.12 and 5,036.78

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Solution

The fourth proportional to 13,356.50, 20,033.12 and 5,036.78 is: 7,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.50 : 20,033.12 = 5,036.78 : x
  2. Step 2: Convert to fraction form
    13,356.50/20,033.12 = 5,036.78/x
  3. Step 3: Cross multiply
    13,356.50x = 20,033.12 × 5,036.78
  4. Step 4: Simplify right side
    13,356.50x = 100,902,480.83
  5. Step 5: Solve for x
    x = 100,902,480.83/13,356.50
  6. Step 6: Final answer
    x = 7,554.56

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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.