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Finding the Fourth Proportional to 14,608.80, 21,913.96 and 4,747.34

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Solution

The fourth proportional to 14,608.80, 21,913.96 and 4,747.34 is: 7,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.80 : 21,913.96 = 4,747.34 : x
  2. Step 2: Convert to fraction form
    14,608.80/21,913.96 = 4,747.34/x
  3. Step 3: Cross multiply
    14,608.80x = 21,913.96 × 4,747.34
  4. Step 4: Simplify right side
    14,608.80x = 104,033,018.87
  5. Step 5: Solve for x
    x = 104,033,018.87/14,608.80
  6. Step 6: Final answer
    x = 7,121.26

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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.