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Finding the Fourth Proportional to 13,872.78, 20,797.77 and 6,473.58

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Solution

The fourth proportional to 13,872.78, 20,797.77 and 6,473.58 is: 9,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.78 : 20,797.77 = 6,473.58 : x
  2. Step 2: Convert to fraction form
    13,872.78/20,797.77 = 6,473.58/x
  3. Step 3: Cross multiply
    13,872.78x = 20,797.77 × 6,473.58
  4. Step 4: Simplify right side
    13,872.78x = 134,636,027.92
  5. Step 5: Solve for x
    x = 134,636,027.92/13,872.78
  6. Step 6: Final answer
    x = 9,705.05

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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.