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Finding the Fourth Proportional to 13,138.41, 18,121.99 and 7,829.13

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Solution

The fourth proportional to 13,138.41, 18,121.99 and 7,829.13 is: 10,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.41 : 18,121.99 = 7,829.13 : x
  2. Step 2: Convert to fraction form
    13,138.41/18,121.99 = 7,829.13/x
  3. Step 3: Cross multiply
    13,138.41x = 18,121.99 × 7,829.13
  4. Step 4: Simplify right side
    13,138.41x = 141,879,415.57
  5. Step 5: Solve for x
    x = 141,879,415.57/13,138.41
  6. Step 6: Final answer
    x = 10,798.83

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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.