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Finding the Fourth Proportional to 14,546.62, 21,826.41 and 7,619.50

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Solution

The fourth proportional to 14,546.62, 21,826.41 and 7,619.50 is: 11,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.62 : 21,826.41 = 7,619.50 : x
  2. Step 2: Convert to fraction form
    14,546.62/21,826.41 = 7,619.50/x
  3. Step 3: Cross multiply
    14,546.62x = 21,826.41 × 7,619.50
  4. Step 4: Simplify right side
    14,546.62x = 166,306,331.00
  5. Step 5: Solve for x
    x = 166,306,331.00/14,546.62
  6. Step 6: Final answer
    x = 11,432.64

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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.