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Finding the Fourth Proportional to 16,938, 25,407.09 and 4,626

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Solution

The fourth proportional to 16,938, 25,407.09 and 4,626 is: 6,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938 : 25,407.09 = 4,626 : x
  2. Step 2: Convert to fraction form
    16,938/25,407.09 = 4,626/x
  3. Step 3: Cross multiply
    16,938x = 25,407.09 × 4,626
  4. Step 4: Simplify right side
    16,938x = 117,533,198.34
  5. Step 5: Solve for x
    x = 117,533,198.34/16,938
  6. Step 6: Final answer
    x = 6,939.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.