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Finding the Fourth Proportional to 13,405.39, 18,500.43 and 7,438.21

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Solution

The fourth proportional to 13,405.39, 18,500.43 and 7,438.21 is: 10,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.39 : 18,500.43 = 7,438.21 : x
  2. Step 2: Convert to fraction form
    13,405.39/18,500.43 = 7,438.21/x
  3. Step 3: Cross multiply
    13,405.39x = 18,500.43 × 7,438.21
  4. Step 4: Simplify right side
    13,405.39x = 137,610,083.43
  5. Step 5: Solve for x
    x = 137,610,083.43/13,405.39
  6. Step 6: Final answer
    x = 10,265.28

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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.