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Finding the Fourth Proportional to 12,081.96, 16,679.43 and 7,546.05

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Solution

The fourth proportional to 12,081.96, 16,679.43 and 7,546.05 is: 10,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.96 : 16,679.43 = 7,546.05 : x
  2. Step 2: Convert to fraction form
    12,081.96/16,679.43 = 7,546.05/x
  3. Step 3: Cross multiply
    12,081.96x = 16,679.43 × 7,546.05
  4. Step 4: Simplify right side
    12,081.96x = 125,863,812.75
  5. Step 5: Solve for x
    x = 125,863,812.75/12,081.96
  6. Step 6: Final answer
    x = 10,417.50

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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.