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Finding the Fourth Proportional to 12,741.69, 19,115.18 and 3,857.51

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Solution

The fourth proportional to 12,741.69, 19,115.18 and 3,857.51 is: 5,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.69 : 19,115.18 = 3,857.51 : x
  2. Step 2: Convert to fraction form
    12,741.69/19,115.18 = 3,857.51/x
  3. Step 3: Cross multiply
    12,741.69x = 19,115.18 × 3,857.51
  4. Step 4: Simplify right side
    12,741.69x = 73,737,008.66
  5. Step 5: Solve for x
    x = 73,737,008.66/12,741.69
  6. Step 6: Final answer
    x = 5,787.07

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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.