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Finding the Fourth Proportional to 13,106.40, 18,086.19 and 7,138.04

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Solution

The fourth proportional to 13,106.40, 18,086.19 and 7,138.04 is: 9,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.40 : 18,086.19 = 7,138.04 : x
  2. Step 2: Convert to fraction form
    13,106.40/18,086.19 = 7,138.04/x
  3. Step 3: Cross multiply
    13,106.40x = 18,086.19 × 7,138.04
  4. Step 4: Simplify right side
    13,106.40x = 129,099,857.24
  5. Step 5: Solve for x
    x = 129,099,857.24/13,106.40
  6. Step 6: Final answer
    x = 9,850.14

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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.