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Finding the Fourth Proportional to 24,789, 34,209.63 and 13,611

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Solution

The fourth proportional to 24,789, 34,209.63 and 13,611 is: 18,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,789 : 34,209.63 = 13,611 : x
  2. Step 2: Convert to fraction form
    24,789/34,209.63 = 13,611/x
  3. Step 3: Cross multiply
    24,789x = 34,209.63 × 13,611
  4. Step 4: Simplify right side
    24,789x = 465,627,273.93
  5. Step 5: Solve for x
    x = 465,627,273.93/24,789
  6. Step 6: Final answer
    x = 18,783.62

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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.