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Finding the Fourth Proportional to 16,318.56, 22,529.16 and 11,838

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Solution

The fourth proportional to 16,318.56, 22,529.16 and 11,838 is: 16,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.56 : 22,529.16 = 11,838 : x
  2. Step 2: Convert to fraction form
    16,318.56/22,529.16 = 11,838/x
  3. Step 3: Cross multiply
    16,318.56x = 22,529.16 × 11,838
  4. Step 4: Simplify right side
    16,318.56x = 266,700,196.08
  5. Step 5: Solve for x
    x = 266,700,196.08/16,318.56
  6. Step 6: Final answer
    x = 16,343.37

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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.