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Finding the Fourth Proportional to 13,184.27, 18,195.92 and 7,520.24

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Solution

The fourth proportional to 13,184.27, 18,195.92 and 7,520.24 is: 10,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.27 : 18,195.92 = 7,520.24 : x
  2. Step 2: Convert to fraction form
    13,184.27/18,195.92 = 7,520.24/x
  3. Step 3: Cross multiply
    13,184.27x = 18,195.92 × 7,520.24
  4. Step 4: Simplify right side
    13,184.27x = 136,837,700.36
  5. Step 5: Solve for x
    x = 136,837,700.36/13,184.27
  6. Step 6: Final answer
    x = 10,378.86

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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.