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Finding the Fourth Proportional to 13,206.37, 18,223.86 and 7,541.43

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Solution

The fourth proportional to 13,206.37, 18,223.86 and 7,541.43 is: 10,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.37 : 18,223.86 = 7,541.43 : x
  2. Step 2: Convert to fraction form
    13,206.37/18,223.86 = 7,541.43/x
  3. Step 3: Cross multiply
    13,206.37x = 18,223.86 × 7,541.43
  4. Step 4: Simplify right side
    13,206.37x = 137,433,992.80
  5. Step 5: Solve for x
    x = 137,433,992.80/13,206.37
  6. Step 6: Final answer
    x = 10,406.65

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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.