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Finding the Fourth Proportional to 12,648.93, 17,456.11 and 6,984.49

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Solution

The fourth proportional to 12,648.93, 17,456.11 and 6,984.49 is: 9,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.93 : 17,456.11 = 6,984.49 : x
  2. Step 2: Convert to fraction form
    12,648.93/17,456.11 = 6,984.49/x
  3. Step 3: Cross multiply
    12,648.93x = 17,456.11 × 6,984.49
  4. Step 4: Simplify right side
    12,648.93x = 121,922,025.73
  5. Step 5: Solve for x
    x = 121,922,025.73/12,648.93
  6. Step 6: Final answer
    x = 9,638.92

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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.