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Finding the Fourth Proportional to 12,408.48, 17,124 and 7,104.96

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Solution

The fourth proportional to 12,408.48, 17,124 and 7,104.96 is: 9,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.48 : 17,124 = 7,104.96 : x
  2. Step 2: Convert to fraction form
    12,408.48/17,124 = 7,104.96/x
  3. Step 3: Cross multiply
    12,408.48x = 17,124 × 7,104.96
  4. Step 4: Simplify right side
    12,408.48x = 121,665,335.04
  5. Step 5: Solve for x
    x = 121,665,335.04/12,408.48
  6. Step 6: Final answer
    x = 9,805.02

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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.