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Finding the Fourth Proportional to 12,225.66, 18,340.86 and 5,205.56

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Solution

The fourth proportional to 12,225.66, 18,340.86 and 5,205.56 is: 7,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.66 : 18,340.86 = 5,205.56 : x
  2. Step 2: Convert to fraction form
    12,225.66/18,340.86 = 5,205.56/x
  3. Step 3: Cross multiply
    12,225.66x = 18,340.86 × 5,205.56
  4. Step 4: Simplify right side
    12,225.66x = 95,474,355.48
  5. Step 5: Solve for x
    x = 95,474,355.48/12,225.66
  6. Step 6: Final answer
    x = 7,809.34

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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.