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Finding the Fourth Proportional to 14,803.92, 20,429.68 and 8,431.24

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Solution

The fourth proportional to 14,803.92, 20,429.68 and 8,431.24 is: 11,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.92 : 20,429.68 = 8,431.24 : x
  2. Step 2: Convert to fraction form
    14,803.92/20,429.68 = 8,431.24/x
  3. Step 3: Cross multiply
    14,803.92x = 20,429.68 × 8,431.24
  4. Step 4: Simplify right side
    14,803.92x = 172,247,535.20
  5. Step 5: Solve for x
    x = 172,247,535.20/14,803.92
  6. Step 6: Final answer
    x = 11,635.27

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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.