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Finding the Fourth Proportional to 12,848.69, 17,731.22 and 7,183.64

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Solution

The fourth proportional to 12,848.69, 17,731.22 and 7,183.64 is: 9,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.69 : 17,731.22 = 7,183.64 : x
  2. Step 2: Convert to fraction form
    12,848.69/17,731.22 = 7,183.64/x
  3. Step 3: Cross multiply
    12,848.69x = 17,731.22 × 7,183.64
  4. Step 4: Simplify right side
    12,848.69x = 127,374,576.67
  5. Step 5: Solve for x
    x = 127,374,576.67/12,848.69
  6. Step 6: Final answer
    x = 9,913.43

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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.