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Finding the Fourth Proportional to 13,863.76, 19,127.14 and 7,893.86

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Solution

The fourth proportional to 13,863.76, 19,127.14 and 7,893.86 is: 10,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.76 : 19,127.14 = 7,893.86 : x
  2. Step 2: Convert to fraction form
    13,863.76/19,127.14 = 7,893.86/x
  3. Step 3: Cross multiply
    13,863.76x = 19,127.14 × 7,893.86
  4. Step 4: Simplify right side
    13,863.76x = 150,986,849.99
  5. Step 5: Solve for x
    x = 150,986,849.99/13,863.76
  6. Step 6: Final answer
    x = 10,890.76

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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.