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Finding the Fourth Proportional to 13,138.88, 18,131.71 and 7,170.68

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Solution

The fourth proportional to 13,138.88, 18,131.71 and 7,170.68 is: 9,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.88 : 18,131.71 = 7,170.68 : x
  2. Step 2: Convert to fraction form
    13,138.88/18,131.71 = 7,170.68/x
  3. Step 3: Cross multiply
    13,138.88x = 18,131.71 × 7,170.68
  4. Step 4: Simplify right side
    13,138.88x = 130,016,599.60
  5. Step 5: Solve for x
    x = 130,016,599.60/13,138.88
  6. Step 6: Final answer
    x = 9,895.56

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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.