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Finding the Fourth Proportional to 13,645.44, 18,829.40 and 7,679.21

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Solution

The fourth proportional to 13,645.44, 18,829.40 and 7,679.21 is: 10,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.44 : 18,829.40 = 7,679.21 : x
  2. Step 2: Convert to fraction form
    13,645.44/18,829.40 = 7,679.21/x
  3. Step 3: Cross multiply
    13,645.44x = 18,829.40 × 7,679.21
  4. Step 4: Simplify right side
    13,645.44x = 144,594,784.23
  5. Step 5: Solve for x
    x = 144,594,784.23/13,645.44
  6. Step 6: Final answer
    x = 10,596.56

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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.