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Finding the Fourth Proportional to 12,648.95, 17,456.59 and 6,984.26

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Solution

The fourth proportional to 12,648.95, 17,456.59 and 6,984.26 is: 9,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.95 : 17,456.59 = 6,984.26 : x
  2. Step 2: Convert to fraction form
    12,648.95/17,456.59 = 6,984.26/x
  3. Step 3: Cross multiply
    12,648.95x = 17,456.59 × 6,984.26
  4. Step 4: Simplify right side
    12,648.95x = 121,921,241.07
  5. Step 5: Solve for x
    x = 121,921,241.07/12,648.95
  6. Step 6: Final answer
    x = 9,638.85

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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.