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Finding the Fourth Proportional to 12,857.60, 19,287.84 and 4,089.44

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Solution

The fourth proportional to 12,857.60, 19,287.84 and 4,089.44 is: 6,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.60 : 19,287.84 = 4,089.44 : x
  2. Step 2: Convert to fraction form
    12,857.60/19,287.84 = 4,089.44/x
  3. Step 3: Cross multiply
    12,857.60x = 19,287.84 × 4,089.44
  4. Step 4: Simplify right side
    12,857.60x = 78,876,464.41
  5. Step 5: Solve for x
    x = 78,876,464.41/12,857.60
  6. Step 6: Final answer
    x = 6,134.62

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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.