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Finding the Fourth Proportional to 12,308.28, 18,464.04 and 4,522.56

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Solution

The fourth proportional to 12,308.28, 18,464.04 and 4,522.56 is: 6,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.28 : 18,464.04 = 4,522.56 : x
  2. Step 2: Convert to fraction form
    12,308.28/18,464.04 = 4,522.56/x
  3. Step 3: Cross multiply
    12,308.28x = 18,464.04 × 4,522.56
  4. Step 4: Simplify right side
    12,308.28x = 83,504,728.74
  5. Step 5: Solve for x
    x = 83,504,728.74/12,308.28
  6. Step 6: Final answer
    x = 6,784.44

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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.