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Finding the Fourth Proportional to 21,716.38, 29,993.16 and 14,630.50

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Solution

The fourth proportional to 21,716.38, 29,993.16 and 14,630.50 is: 20,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.38 : 29,993.16 = 14,630.50 : x
  2. Step 2: Convert to fraction form
    21,716.38/29,993.16 = 14,630.50/x
  3. Step 3: Cross multiply
    21,716.38x = 29,993.16 × 14,630.50
  4. Step 4: Simplify right side
    21,716.38x = 438,814,927.38
  5. Step 5: Solve for x
    x = 438,814,927.38/21,716.38
  6. Step 6: Final answer
    x = 20,206.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.