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Finding the Fourth Proportional to 11,414.94, 17,127.36 and 4,024.68

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Solution

The fourth proportional to 11,414.94, 17,127.36 and 4,024.68 is: 6,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.94 : 17,127.36 = 4,024.68 : x
  2. Step 2: Convert to fraction form
    11,414.94/17,127.36 = 4,024.68/x
  3. Step 3: Cross multiply
    11,414.94x = 17,127.36 × 4,024.68
  4. Step 4: Simplify right side
    11,414.94x = 68,932,143.24
  5. Step 5: Solve for x
    x = 68,932,143.24/11,414.94
  6. Step 6: Final answer
    x = 6,038.77

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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.