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Finding the Fourth Proportional to 24,786, 34,204.68 and 13,608

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Solution

The fourth proportional to 24,786, 34,204.68 and 13,608 is: 18,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 34,204.68 = 13,608 : x
  2. Step 2: Convert to fraction form
    24,786/34,204.68 = 13,608/x
  3. Step 3: Cross multiply
    24,786x = 34,204.68 × 13,608
  4. Step 4: Simplify right side
    24,786x = 465,457,285.44
  5. Step 5: Solve for x
    x = 465,457,285.44/24,786
  6. Step 6: Final answer
    x = 18,779.04

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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.