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Finding the Fourth Proportional to 13,139.91, 18,133.03 and 7,171.63

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Solution

The fourth proportional to 13,139.91, 18,133.03 and 7,171.63 is: 9,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.91 : 18,133.03 = 7,171.63 : x
  2. Step 2: Convert to fraction form
    13,139.91/18,133.03 = 7,171.63/x
  3. Step 3: Cross multiply
    13,139.91x = 18,133.03 × 7,171.63
  4. Step 4: Simplify right side
    13,139.91x = 130,043,381.94
  5. Step 5: Solve for x
    x = 130,043,381.94/13,139.91
  6. Step 6: Final answer
    x = 9,896.82

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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.