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Finding the Fourth Proportional to 21,821.88, 30,138.72 and 14,736

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Solution

The fourth proportional to 21,821.88, 30,138.72 and 14,736 is: 20,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.88 : 30,138.72 = 14,736 : x
  2. Step 2: Convert to fraction form
    21,821.88/30,138.72 = 14,736/x
  3. Step 3: Cross multiply
    21,821.88x = 30,138.72 × 14,736
  4. Step 4: Simplify right side
    21,821.88x = 444,124,177.92
  5. Step 5: Solve for x
    x = 444,124,177.92/21,821.88
  6. Step 6: Final answer
    x = 20,352.24

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