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Finding the Fourth Proportional to 16,262.56, 22,457.28 and 13,076.38

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Solution

The fourth proportional to 16,262.56, 22,457.28 and 13,076.38 is: 18,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.56 : 22,457.28 = 13,076.38 : x
  2. Step 2: Convert to fraction form
    16,262.56/22,457.28 = 13,076.38/x
  3. Step 3: Cross multiply
    16,262.56x = 22,457.28 × 13,076.38
  4. Step 4: Simplify right side
    16,262.56x = 293,659,927.05
  5. Step 5: Solve for x
    x = 293,659,927.05/16,262.56
  6. Step 6: Final answer
    x = 18,057.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.