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Finding the Fourth Proportional to 24,806, 34,222.53 and 14,189.96

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Solution

The fourth proportional to 24,806, 34,222.53 and 14,189.96 is: 19,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806 : 34,222.53 = 14,189.96 : x
  2. Step 2: Convert to fraction form
    24,806/34,222.53 = 14,189.96/x
  3. Step 3: Cross multiply
    24,806x = 34,222.53 × 14,189.96
  4. Step 4: Simplify right side
    24,806x = 485,616,331.80
  5. Step 5: Solve for x
    x = 485,616,331.80/24,806
  6. Step 6: Final answer
    x = 19,576.57

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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.