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Finding the Fourth Proportional to 14,414.32, 19,893.04 and 8,127.92

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Solution

The fourth proportional to 14,414.32, 19,893.04 and 8,127.92 is: 11,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.32 : 19,893.04 = 8,127.92 : x
  2. Step 2: Convert to fraction form
    14,414.32/19,893.04 = 8,127.92/x
  3. Step 3: Cross multiply
    14,414.32x = 19,893.04 × 8,127.92
  4. Step 4: Simplify right side
    14,414.32x = 161,689,037.68
  5. Step 5: Solve for x
    x = 161,689,037.68/14,414.32
  6. Step 6: Final answer
    x = 11,217.25

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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.