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Finding the Fourth Proportional to 12,227.08, 18,325.50 and 6,966.50

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Solution

The fourth proportional to 12,227.08, 18,325.50 and 6,966.50 is: 10,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.08 : 18,325.50 = 6,966.50 : x
  2. Step 2: Convert to fraction form
    12,227.08/18,325.50 = 6,966.50/x
  3. Step 3: Cross multiply
    12,227.08x = 18,325.50 × 6,966.50
  4. Step 4: Simplify right side
    12,227.08x = 127,664,595.75
  5. Step 5: Solve for x
    x = 127,664,595.75/12,227.08
  6. Step 6: Final answer
    x = 10,441.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.