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Finding the Fourth Proportional to 16,993, 23,452.50 and 9,541

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Solution

The fourth proportional to 16,993, 23,452.50 and 9,541 is: 13,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993 : 23,452.50 = 9,541 : x
  2. Step 2: Convert to fraction form
    16,993/23,452.50 = 9,541/x
  3. Step 3: Cross multiply
    16,993x = 23,452.50 × 9,541
  4. Step 4: Simplify right side
    16,993x = 223,760,302.50
  5. Step 5: Solve for x
    x = 223,760,302.50/16,993
  6. Step 6: Final answer
    x = 13,167.79

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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.