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Finding the Fourth Proportional to 24,682, 34,061.98 and 13,504

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Solution

The fourth proportional to 24,682, 34,061.98 and 13,504 is: 18,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 34,061.98 = 13,504 : x
  2. Step 2: Convert to fraction form
    24,682/34,061.98 = 13,504/x
  3. Step 3: Cross multiply
    24,682x = 34,061.98 × 13,504
  4. Step 4: Simplify right side
    24,682x = 459,972,977.92
  5. Step 5: Solve for x
    x = 459,972,977.92/24,682
  6. Step 6: Final answer
    x = 18,635.97

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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.