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Finding the Fourth Proportional to 14,680.50, 22,023.05 and 4,817.54

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Solution

The fourth proportional to 14,680.50, 22,023.05 and 4,817.54 is: 7,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.50 : 22,023.05 = 4,817.54 : x
  2. Step 2: Convert to fraction form
    14,680.50/22,023.05 = 4,817.54/x
  3. Step 3: Cross multiply
    14,680.50x = 22,023.05 × 4,817.54
  4. Step 4: Simplify right side
    14,680.50x = 106,096,790.09
  5. Step 5: Solve for x
    x = 106,096,790.09/14,680.50
  6. Step 6: Final answer
    x = 7,227.06

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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.