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Finding the Fourth Proportional to 12,993.16, 17,930.48 and 7,024.84

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Solution

The fourth proportional to 12,993.16, 17,930.48 and 7,024.84 is: 9,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.16 : 17,930.48 = 7,024.84 : x
  2. Step 2: Convert to fraction form
    12,993.16/17,930.48 = 7,024.84/x
  3. Step 3: Cross multiply
    12,993.16x = 17,930.48 × 7,024.84
  4. Step 4: Simplify right side
    12,993.16x = 125,958,753.12
  5. Step 5: Solve for x
    x = 125,958,753.12/12,993.16
  6. Step 6: Final answer
    x = 9,694.24

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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.