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Finding the Fourth Proportional to 13,830.09, 20,745.14 and 5,927.48

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Solution

The fourth proportional to 13,830.09, 20,745.14 and 5,927.48 is: 8,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.09 : 20,745.14 = 5,927.48 : x
  2. Step 2: Convert to fraction form
    13,830.09/20,745.14 = 5,927.48/x
  3. Step 3: Cross multiply
    13,830.09x = 20,745.14 × 5,927.48
  4. Step 4: Simplify right side
    13,830.09x = 122,966,269.08
  5. Step 5: Solve for x
    x = 122,966,269.08/13,830.09
  6. Step 6: Final answer
    x = 8,891.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.