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Finding the Fourth Proportional to 13,209.24, 18,226.44 and 7,541.40

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Solution

The fourth proportional to 13,209.24, 18,226.44 and 7,541.40 is: 10,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.24 : 18,226.44 = 7,541.40 : x
  2. Step 2: Convert to fraction form
    13,209.24/18,226.44 = 7,541.40/x
  3. Step 3: Cross multiply
    13,209.24x = 18,226.44 × 7,541.40
  4. Step 4: Simplify right side
    13,209.24x = 137,452,874.62
  5. Step 5: Solve for x
    x = 137,452,874.62/13,209.24
  6. Step 6: Final answer
    x = 10,405.81

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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.