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Finding the Fourth Proportional to 14,604.56, 21,906.84 and 4,744.84

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Solution

The fourth proportional to 14,604.56, 21,906.84 and 4,744.84 is: 7,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.56 : 21,906.84 = 4,744.84 : x
  2. Step 2: Convert to fraction form
    14,604.56/21,906.84 = 4,744.84/x
  3. Step 3: Cross multiply
    14,604.56x = 21,906.84 × 4,744.84
  4. Step 4: Simplify right side
    14,604.56x = 103,944,450.71
  5. Step 5: Solve for x
    x = 103,944,450.71/14,604.56
  6. Step 6: Final answer
    x = 7,117.26

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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.