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Finding the Fourth Proportional to 13,107.90, 18,089.25 and 7,442.46

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Solution

The fourth proportional to 13,107.90, 18,089.25 and 7,442.46 is: 10,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.90 : 18,089.25 = 7,442.46 : x
  2. Step 2: Convert to fraction form
    13,107.90/18,089.25 = 7,442.46/x
  3. Step 3: Cross multiply
    13,107.90x = 18,089.25 × 7,442.46
  4. Step 4: Simplify right side
    13,107.90x = 134,628,519.56
  5. Step 5: Solve for x
    x = 134,628,519.56/13,107.90
  6. Step 6: Final answer
    x = 10,270.79

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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.