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Finding the Fourth Proportional to 12,288.64, 18,435.52 and 4,080

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Solution

The fourth proportional to 12,288.64, 18,435.52 and 4,080 is: 6,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.64 : 18,435.52 = 4,080 : x
  2. Step 2: Convert to fraction form
    12,288.64/18,435.52 = 4,080/x
  3. Step 3: Cross multiply
    12,288.64x = 18,435.52 × 4,080
  4. Step 4: Simplify right side
    12,288.64x = 75,216,921.60
  5. Step 5: Solve for x
    x = 75,216,921.60/12,288.64
  6. Step 6: Final answer
    x = 6,120.85

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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.