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Finding the Fourth Proportional to 14,863.14, 20,511.72 and 8,490.78

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Solution

The fourth proportional to 14,863.14, 20,511.72 and 8,490.78 is: 11,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.14 : 20,511.72 = 8,490.78 : x
  2. Step 2: Convert to fraction form
    14,863.14/20,511.72 = 8,490.78/x
  3. Step 3: Cross multiply
    14,863.14x = 20,511.72 × 8,490.78
  4. Step 4: Simplify right side
    14,863.14x = 174,160,501.94
  5. Step 5: Solve for x
    x = 174,160,501.94/14,863.14
  6. Step 6: Final answer
    x = 11,717.61

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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.