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Finding the Fourth Proportional to 13,047.18, 18,005 and 7,381.96

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Solution

The fourth proportional to 13,047.18, 18,005 and 7,381.96 is: 10,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.18 : 18,005 = 7,381.96 : x
  2. Step 2: Convert to fraction form
    13,047.18/18,005 = 7,381.96/x
  3. Step 3: Cross multiply
    13,047.18x = 18,005 × 7,381.96
  4. Step 4: Simplify right side
    13,047.18x = 132,912,189.80
  5. Step 5: Solve for x
    x = 132,912,189.80/13,047.18
  6. Step 6: Final answer
    x = 10,187.04

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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.