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Finding the Fourth Proportional to 14,653.92, 20,231.64 and 10,176.24

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Solution

The fourth proportional to 14,653.92, 20,231.64 and 10,176.24 is: 14,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.92 : 20,231.64 = 10,176.24 : x
  2. Step 2: Convert to fraction form
    14,653.92/20,231.64 = 10,176.24/x
  3. Step 3: Cross multiply
    14,653.92x = 20,231.64 × 10,176.24
  4. Step 4: Simplify right side
    14,653.92x = 205,882,024.23
  5. Step 5: Solve for x
    x = 205,882,024.23/14,653.92
  6. Step 6: Final answer
    x = 14,049.62

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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.