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Finding the Fourth Proportional to 12,382.16, 18,577.12 and 4,062.24

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Solution

The fourth proportional to 12,382.16, 18,577.12 and 4,062.24 is: 6,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.16 : 18,577.12 = 4,062.24 : x
  2. Step 2: Convert to fraction form
    12,382.16/18,577.12 = 4,062.24/x
  3. Step 3: Cross multiply
    12,382.16x = 18,577.12 × 4,062.24
  4. Step 4: Simplify right side
    12,382.16x = 75,464,719.95
  5. Step 5: Solve for x
    x = 75,464,719.95/12,382.16
  6. Step 6: Final answer
    x = 6,094.63

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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.