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Finding the Fourth Proportional to 20,477.88, 30,714.40 and 12,049.44

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Solution

The fourth proportional to 20,477.88, 30,714.40 and 12,049.44 is: 18,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.88 : 30,714.40 = 12,049.44 : x
  2. Step 2: Convert to fraction form
    20,477.88/30,714.40 = 12,049.44/x
  3. Step 3: Cross multiply
    20,477.88x = 30,714.40 × 12,049.44
  4. Step 4: Simplify right side
    20,477.88x = 370,091,319.94
  5. Step 5: Solve for x
    x = 370,091,319.94/20,477.88
  6. Step 6: Final answer
    x = 18,072.74

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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.