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Finding the Fourth Proportional to 21,770.33, 30,034.41 and 14,214.23

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Solution

The fourth proportional to 21,770.33, 30,034.41 and 14,214.23 is: 19,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.33 : 30,034.41 = 14,214.23 : x
  2. Step 2: Convert to fraction form
    21,770.33/30,034.41 = 14,214.23/x
  3. Step 3: Cross multiply
    21,770.33x = 30,034.41 × 14,214.23
  4. Step 4: Simplify right side
    21,770.33x = 426,916,011.65
  5. Step 5: Solve for x
    x = 426,916,011.65/21,770.33
  6. Step 6: Final answer
    x = 19,609.99

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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.