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Finding the Fourth Proportional to 12,993.16, 17,930.56 and 7,024.83

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Solution

The fourth proportional to 12,993.16, 17,930.56 and 7,024.83 is: 9,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.16 : 17,930.56 = 7,024.83 : x
  2. Step 2: Convert to fraction form
    12,993.16/17,930.56 = 7,024.83/x
  3. Step 3: Cross multiply
    12,993.16x = 17,930.56 × 7,024.83
  4. Step 4: Simplify right side
    12,993.16x = 125,959,064.17
  5. Step 5: Solve for x
    x = 125,959,064.17/12,993.16
  6. Step 6: Final answer
    x = 9,694.26

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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.