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Finding the Fourth Proportional to 16,327.44, 22,536 and 10,045.44

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Solution

The fourth proportional to 16,327.44, 22,536 and 10,045.44 is: 13,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.44 : 22,536 = 10,045.44 : x
  2. Step 2: Convert to fraction form
    16,327.44/22,536 = 10,045.44/x
  3. Step 3: Cross multiply
    16,327.44x = 22,536 × 10,045.44
  4. Step 4: Simplify right side
    16,327.44x = 226,384,035.84
  5. Step 5: Solve for x
    x = 226,384,035.84/16,327.44
  6. Step 6: Final answer
    x = 13,865.25

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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.