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Finding the Fourth Proportional to 21,830.70, 30,102.57 and 14,744.82

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Solution

The fourth proportional to 21,830.70, 30,102.57 and 14,744.82 is: 20,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.70 : 30,102.57 = 14,744.82 : x
  2. Step 2: Convert to fraction form
    21,830.70/30,102.57 = 14,744.82/x
  3. Step 3: Cross multiply
    21,830.70x = 30,102.57 × 14,744.82
  4. Step 4: Simplify right side
    21,830.70x = 443,856,976.19
  5. Step 5: Solve for x
    x = 443,856,976.19/21,830.70
  6. Step 6: Final answer
    x = 20,331.78

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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.