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Finding the Fourth Proportional to 14,494, 21,744.80 and 4,633.48

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Solution

The fourth proportional to 14,494, 21,744.80 and 4,633.48 is: 6,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494 : 21,744.80 = 4,633.48 : x
  2. Step 2: Convert to fraction form
    14,494/21,744.80 = 4,633.48/x
  3. Step 3: Cross multiply
    14,494x = 21,744.80 × 4,633.48
  4. Step 4: Simplify right side
    14,494x = 100,754,095.90
  5. Step 5: Solve for x
    x = 100,754,095.90/14,494
  6. Step 6: Final answer
    x = 6,951.43

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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.