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Finding the Fourth Proportional to 13,138.95, 18,131.09 and 7,170.57

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Solution

The fourth proportional to 13,138.95, 18,131.09 and 7,170.57 is: 9,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.95 : 18,131.09 = 7,170.57 : x
  2. Step 2: Convert to fraction form
    13,138.95/18,131.09 = 7,170.57/x
  3. Step 3: Cross multiply
    13,138.95x = 18,131.09 × 7,170.57
  4. Step 4: Simplify right side
    13,138.95x = 130,010,214.17
  5. Step 5: Solve for x
    x = 130,010,214.17/13,138.95
  6. Step 6: Final answer
    x = 9,895.02

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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.