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Finding the Fourth Proportional to 13,226.74, 18,250.05 and 7,634.50

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Solution

The fourth proportional to 13,226.74, 18,250.05 and 7,634.50 is: 10,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.74 : 18,250.05 = 7,634.50 : x
  2. Step 2: Convert to fraction form
    13,226.74/18,250.05 = 7,634.50/x
  3. Step 3: Cross multiply
    13,226.74x = 18,250.05 × 7,634.50
  4. Step 4: Simplify right side
    13,226.74x = 139,330,006.73
  5. Step 5: Solve for x
    x = 139,330,006.73/13,226.74
  6. Step 6: Final answer
    x = 10,533.96

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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.