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Finding the Fourth Proportional to 13,107.12, 18,087.92 and 7,441.68

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Solution

The fourth proportional to 13,107.12, 18,087.92 and 7,441.68 is: 10,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.12 : 18,087.92 = 7,441.68 : x
  2. Step 2: Convert to fraction form
    13,107.12/18,087.92 = 7,441.68/x
  3. Step 3: Cross multiply
    13,107.12x = 18,087.92 × 7,441.68
  4. Step 4: Simplify right side
    13,107.12x = 134,604,512.51
  5. Step 5: Solve for x
    x = 134,604,512.51/13,107.12
  6. Step 6: Final answer
    x = 10,269.57

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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.