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Finding the Fourth Proportional to 12,428.74, 18,643.16 and 5,033.34

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Solution

The fourth proportional to 12,428.74, 18,643.16 and 5,033.34 is: 7,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.74 : 18,643.16 = 5,033.34 : x
  2. Step 2: Convert to fraction form
    12,428.74/18,643.16 = 5,033.34/x
  3. Step 3: Cross multiply
    12,428.74x = 18,643.16 × 5,033.34
  4. Step 4: Simplify right side
    12,428.74x = 93,837,375.54
  5. Step 5: Solve for x
    x = 93,837,375.54/12,428.74
  6. Step 6: Final answer
    x = 7,550.03

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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.