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Finding the Fourth Proportional to 12,255.12, 18,390 and 4,464.48

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Solution

The fourth proportional to 12,255.12, 18,390 and 4,464.48 is: 6,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.12 : 18,390 = 4,464.48 : x
  2. Step 2: Convert to fraction form
    12,255.12/18,390 = 4,464.48/x
  3. Step 3: Cross multiply
    12,255.12x = 18,390 × 4,464.48
  4. Step 4: Simplify right side
    12,255.12x = 82,101,787.20
  5. Step 5: Solve for x
    x = 82,101,787.20/12,255.12
  6. Step 6: Final answer
    x = 6,699.39

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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.