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Finding the Fourth Proportional to 13,047.40, 18,006.18 and 7,382.64

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Solution

The fourth proportional to 13,047.40, 18,006.18 and 7,382.64 is: 10,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.40 : 18,006.18 = 7,382.64 : x
  2. Step 2: Convert to fraction form
    13,047.40/18,006.18 = 7,382.64/x
  3. Step 3: Cross multiply
    13,047.40x = 18,006.18 × 7,382.64
  4. Step 4: Simplify right side
    13,047.40x = 132,933,144.72
  5. Step 5: Solve for x
    x = 132,933,144.72/13,047.40
  6. Step 6: Final answer
    x = 10,188.48

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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.