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Finding the Fourth Proportional to 13,138.65, 18,131.19 and 7,170.57

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Solution

The fourth proportional to 13,138.65, 18,131.19 and 7,170.57 is: 9,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.65 : 18,131.19 = 7,170.57 : x
  2. Step 2: Convert to fraction form
    13,138.65/18,131.19 = 7,170.57/x
  3. Step 3: Cross multiply
    13,138.65x = 18,131.19 × 7,170.57
  4. Step 4: Simplify right side
    13,138.65x = 130,010,967.08
  5. Step 5: Solve for x
    x = 130,010,967.08/13,138.65
  6. Step 6: Final answer
    x = 9,895.31

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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.