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Finding the Fourth Proportional to 13,065.26, 18,032.97 and 8,033.84

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Solution

The fourth proportional to 13,065.26, 18,032.97 and 8,033.84 is: 11,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.26 : 18,032.97 = 8,033.84 : x
  2. Step 2: Convert to fraction form
    13,065.26/18,032.97 = 8,033.84/x
  3. Step 3: Cross multiply
    13,065.26x = 18,032.97 × 8,033.84
  4. Step 4: Simplify right side
    13,065.26x = 144,873,905.54
  5. Step 5: Solve for x
    x = 144,873,905.54/13,065.26
  6. Step 6: Final answer
    x = 11,088.49

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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.