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Finding the Fourth Proportional to 13,105.43, 18,084.95 and 7,137.14

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Solution

The fourth proportional to 13,105.43, 18,084.95 and 7,137.14 is: 9,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.43 : 18,084.95 = 7,137.14 : x
  2. Step 2: Convert to fraction form
    13,105.43/18,084.95 = 7,137.14/x
  3. Step 3: Cross multiply
    13,105.43x = 18,084.95 × 7,137.14
  4. Step 4: Simplify right side
    13,105.43x = 129,074,796.65
  5. Step 5: Solve for x
    x = 129,074,796.65/13,105.43
  6. Step 6: Final answer
    x = 9,848.96

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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.