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Finding the Fourth Proportional to 13,546.81, 20,314.97 and 4,660.46

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Solution

The fourth proportional to 13,546.81, 20,314.97 and 4,660.46 is: 6,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.81 : 20,314.97 = 4,660.46 : x
  2. Step 2: Convert to fraction form
    13,546.81/20,314.97 = 4,660.46/x
  3. Step 3: Cross multiply
    13,546.81x = 20,314.97 × 4,660.46
  4. Step 4: Simplify right side
    13,546.81x = 94,677,105.09
  5. Step 5: Solve for x
    x = 94,677,105.09/13,546.81
  6. Step 6: Final answer
    x = 6,988.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.