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Finding the Fourth Proportional to 12,477.20, 18,714.72 and 5,082.44

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Solution

The fourth proportional to 12,477.20, 18,714.72 and 5,082.44 is: 7,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.20 : 18,714.72 = 5,082.44 : x
  2. Step 2: Convert to fraction form
    12,477.20/18,714.72 = 5,082.44/x
  3. Step 3: Cross multiply
    12,477.20x = 18,714.72 × 5,082.44
  4. Step 4: Simplify right side
    12,477.20x = 95,116,441.52
  5. Step 5: Solve for x
    x = 95,116,441.52/12,477.20
  6. Step 6: Final answer
    x = 7,623.22

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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.