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Finding the Fourth Proportional to 13,138.61, 18,131.14 and 7,170.23

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Solution

The fourth proportional to 13,138.61, 18,131.14 and 7,170.23 is: 9,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.61 : 18,131.14 = 7,170.23 : x
  2. Step 2: Convert to fraction form
    13,138.61/18,131.14 = 7,170.23/x
  3. Step 3: Cross multiply
    13,138.61x = 18,131.14 × 7,170.23
  4. Step 4: Simplify right side
    13,138.61x = 130,004,471.36
  5. Step 5: Solve for x
    x = 130,004,471.36/13,138.61
  6. Step 6: Final answer
    x = 9,894.84

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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.