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Finding the Fourth Proportional to 12,219.75, 18,329.63 and 4,428.56

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Solution

The fourth proportional to 12,219.75, 18,329.63 and 4,428.56 is: 6,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.75 : 18,329.63 = 4,428.56 : x
  2. Step 2: Convert to fraction form
    12,219.75/18,329.63 = 4,428.56/x
  3. Step 3: Cross multiply
    12,219.75x = 18,329.63 × 4,428.56
  4. Step 4: Simplify right side
    12,219.75x = 81,173,889.91
  5. Step 5: Solve for x
    x = 81,173,889.91/12,219.75
  6. Step 6: Final answer
    x = 6,642.84

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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.