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Finding the Fourth Proportional to 16,122.56, 22,250.76 and 9,838.64

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Solution

The fourth proportional to 16,122.56, 22,250.76 and 9,838.64 is: 13,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.56 : 22,250.76 = 9,838.64 : x
  2. Step 2: Convert to fraction form
    16,122.56/22,250.76 = 9,838.64/x
  3. Step 3: Cross multiply
    16,122.56x = 22,250.76 × 9,838.64
  4. Step 4: Simplify right side
    16,122.56x = 218,917,217.37
  5. Step 5: Solve for x
    x = 218,917,217.37/16,122.56
  6. Step 6: Final answer
    x = 13,578.32

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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.