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Finding the Fourth Proportional to 13,782.22, 19,019.37 and 7,494.60

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Solution

The fourth proportional to 13,782.22, 19,019.37 and 7,494.60 is: 10,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.22 : 19,019.37 = 7,494.60 : x
  2. Step 2: Convert to fraction form
    13,782.22/19,019.37 = 7,494.60/x
  3. Step 3: Cross multiply
    13,782.22x = 19,019.37 × 7,494.60
  4. Step 4: Simplify right side
    13,782.22x = 142,542,570.40
  5. Step 5: Solve for x
    x = 142,542,570.40/13,782.22
  6. Step 6: Final answer
    x = 10,342.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.