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Finding the Fourth Proportional to 13,138.50, 18,131.52 and 7,170.55

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Solution

The fourth proportional to 13,138.50, 18,131.52 and 7,170.55 is: 9,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.50 : 18,131.52 = 7,170.55 : x
  2. Step 2: Convert to fraction form
    13,138.50/18,131.52 = 7,170.55/x
  3. Step 3: Cross multiply
    13,138.50x = 18,131.52 × 7,170.55
  4. Step 4: Simplify right side
    13,138.50x = 130,012,934.88
  5. Step 5: Solve for x
    x = 130,012,934.88/13,138.50
  6. Step 6: Final answer
    x = 9,895.57

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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.