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Finding the Fourth Proportional to 13,141.27, 18,135 and 7,173.07

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Solution

The fourth proportional to 13,141.27, 18,135 and 7,173.07 is: 9,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.27 : 18,135 = 7,173.07 : x
  2. Step 2: Convert to fraction form
    13,141.27/18,135 = 7,173.07/x
  3. Step 3: Cross multiply
    13,141.27x = 18,135 × 7,173.07
  4. Step 4: Simplify right side
    13,141.27x = 130,083,624.45
  5. Step 5: Solve for x
    x = 130,083,624.45/13,141.27
  6. Step 6: Final answer
    x = 9,898.86

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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.