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Finding the Fourth Proportional to 16,743, 25,114.98 and 4,431

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Solution

The fourth proportional to 16,743, 25,114.98 and 4,431 is: 6,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,743 : 25,114.98 = 4,431 : x
  2. Step 2: Convert to fraction form
    16,743/25,114.98 = 4,431/x
  3. Step 3: Cross multiply
    16,743x = 25,114.98 × 4,431
  4. Step 4: Simplify right side
    16,743x = 111,284,476.38
  5. Step 5: Solve for x
    x = 111,284,476.38/16,743
  6. Step 6: Final answer
    x = 6,646.63

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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.