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Finding the Fourth Proportional to 13,206.78, 18,226.44 and 7,543.26

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Solution

The fourth proportional to 13,206.78, 18,226.44 and 7,543.26 is: 10,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.78 : 18,226.44 = 7,543.26 : x
  2. Step 2: Convert to fraction form
    13,206.78/18,226.44 = 7,543.26/x
  3. Step 3: Cross multiply
    13,206.78x = 18,226.44 × 7,543.26
  4. Step 4: Simplify right side
    13,206.78x = 137,486,775.79
  5. Step 5: Solve for x
    x = 137,486,775.79/13,206.78
  6. Step 6: Final answer
    x = 10,410.32

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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.