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Finding the Fourth Proportional to 15,546.80, 23,311.65 and 10,622

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Solution

The fourth proportional to 15,546.80, 23,311.65 and 10,622 is: 15,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.80 : 23,311.65 = 10,622 : x
  2. Step 2: Convert to fraction form
    15,546.80/23,311.65 = 10,622/x
  3. Step 3: Cross multiply
    15,546.80x = 23,311.65 × 10,622
  4. Step 4: Simplify right side
    15,546.80x = 247,616,346.30
  5. Step 5: Solve for x
    x = 247,616,346.30/15,546.80
  6. Step 6: Final answer
    x = 15,927.16

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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.