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Finding the Fourth Proportional to 13,238.36, 18,268.26 and 7,649

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Solution

The fourth proportional to 13,238.36, 18,268.26 and 7,649 is: 10,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.36 : 18,268.26 = 7,649 : x
  2. Step 2: Convert to fraction form
    13,238.36/18,268.26 = 7,649/x
  3. Step 3: Cross multiply
    13,238.36x = 18,268.26 × 7,649
  4. Step 4: Simplify right side
    13,238.36x = 139,733,920.74
  5. Step 5: Solve for x
    x = 139,733,920.74/13,238.36
  6. Step 6: Final answer
    x = 10,555.23

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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.