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Finding the Fourth Proportional to 21,049.36, 29,040.50 and 16,205.57

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Solution

The fourth proportional to 21,049.36, 29,040.50 and 16,205.57 is: 22,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.36 : 29,040.50 = 16,205.57 : x
  2. Step 2: Convert to fraction form
    21,049.36/29,040.50 = 16,205.57/x
  3. Step 3: Cross multiply
    21,049.36x = 29,040.50 × 16,205.57
  4. Step 4: Simplify right side
    21,049.36x = 470,617,774.56
  5. Step 5: Solve for x
    x = 470,617,774.56/21,049.36
  6. Step 6: Final answer
    x = 22,357.82

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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.