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Finding the Fourth Proportional to 29,672.16, 40,947.57 and 16,243.43

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Solution

The fourth proportional to 29,672.16, 40,947.57 and 16,243.43 is: 22,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.16 : 40,947.57 = 16,243.43 : x
  2. Step 2: Convert to fraction form
    29,672.16/40,947.57 = 16,243.43/x
  3. Step 3: Cross multiply
    29,672.16x = 40,947.57 × 16,243.43
  4. Step 4: Simplify right side
    29,672.16x = 665,128,782.23
  5. Step 5: Solve for x
    x = 665,128,782.23/29,672.16
  6. Step 6: Final answer
    x = 22,415.92

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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.