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Finding the Fourth Proportional to 14,083.08, 19,443.82 and 9,049.24

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Solution

The fourth proportional to 14,083.08, 19,443.82 and 9,049.24 is: 12,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.08 : 19,443.82 = 9,049.24 : x
  2. Step 2: Convert to fraction form
    14,083.08/19,443.82 = 9,049.24/x
  3. Step 3: Cross multiply
    14,083.08x = 19,443.82 × 9,049.24
  4. Step 4: Simplify right side
    14,083.08x = 175,951,793.70
  5. Step 5: Solve for x
    x = 175,951,793.70/14,083.08
  6. Step 6: Final answer
    x = 12,493.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.