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Finding the Fourth Proportional to 29,938.47, 41,314.39 and 16,509.43

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Solution

The fourth proportional to 29,938.47, 41,314.39 and 16,509.43 is: 22,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.47 : 41,314.39 = 16,509.43 : x
  2. Step 2: Convert to fraction form
    29,938.47/41,314.39 = 16,509.43/x
  3. Step 3: Cross multiply
    29,938.47x = 41,314.39 × 16,509.43
  4. Step 4: Simplify right side
    29,938.47x = 682,077,029.70
  5. Step 5: Solve for x
    x = 682,077,029.70/29,938.47
  6. Step 6: Final answer
    x = 22,782.63

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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.