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Finding the Fourth Proportional to 12,857.91, 19,289.03 and 4,095.51

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Solution

The fourth proportional to 12,857.91, 19,289.03 and 4,095.51 is: 6,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.91 : 19,289.03 = 4,095.51 : x
  2. Step 2: Convert to fraction form
    12,857.91/19,289.03 = 4,095.51/x
  3. Step 3: Cross multiply
    12,857.91x = 19,289.03 × 4,095.51
  4. Step 4: Simplify right side
    12,857.91x = 78,998,394.78
  5. Step 5: Solve for x
    x = 78,998,394.78/12,857.91
  6. Step 6: Final answer
    x = 6,143.95

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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.