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Finding the Fourth Proportional to 29,647.72, 40,912.30 and 16,216.36

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Solution

The fourth proportional to 29,647.72, 40,912.30 and 16,216.36 is: 22,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.72 : 40,912.30 = 16,216.36 : x
  2. Step 2: Convert to fraction form
    29,647.72/40,912.30 = 16,216.36/x
  3. Step 3: Cross multiply
    29,647.72x = 40,912.30 × 16,216.36
  4. Step 4: Simplify right side
    29,647.72x = 663,448,585.23
  5. Step 5: Solve for x
    x = 663,448,585.23/29,647.72
  6. Step 6: Final answer
    x = 22,377.73

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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.