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Finding the Fourth Proportional to 13,546.50, 20,321.99 and 4,661.46

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Solution

The fourth proportional to 13,546.50, 20,321.99 and 4,661.46 is: 6,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.50 : 20,321.99 = 4,661.46 : x
  2. Step 2: Convert to fraction form
    13,546.50/20,321.99 = 4,661.46/x
  3. Step 3: Cross multiply
    13,546.50x = 20,321.99 × 4,661.46
  4. Step 4: Simplify right side
    13,546.50x = 94,730,143.51
  5. Step 5: Solve for x
    x = 94,730,143.51/13,546.50
  6. Step 6: Final answer
    x = 6,992.96

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Why These Related Problems?

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