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Finding the Fourth Proportional to 13,138.71, 18,131.82 and 7,170.93

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Solution

The fourth proportional to 13,138.71, 18,131.82 and 7,170.93 is: 9,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.71 : 18,131.82 = 7,170.93 : x
  2. Step 2: Convert to fraction form
    13,138.71/18,131.82 = 7,170.93/x
  3. Step 3: Cross multiply
    13,138.71x = 18,131.82 × 7,170.93
  4. Step 4: Simplify right side
    13,138.71x = 130,022,045.61
  5. Step 5: Solve for x
    x = 130,022,045.61/13,138.71
  6. Step 6: Final answer
    x = 9,896.11

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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.