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Finding the Fourth Proportional to 12,993, 17,930.46 and 7,404.12

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Solution

The fourth proportional to 12,993, 17,930.46 and 7,404.12 is: 10,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993 : 17,930.46 = 7,404.12 : x
  2. Step 2: Convert to fraction form
    12,993/17,930.46 = 7,404.12/x
  3. Step 3: Cross multiply
    12,993x = 17,930.46 × 7,404.12
  4. Step 4: Simplify right side
    12,993x = 132,759,277.50
  5. Step 5: Solve for x
    x = 132,759,277.50/12,993
  6. Step 6: Final answer
    x = 10,217.75

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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.