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Finding the Fourth Proportional to 24,596, 33,942.48 and 14,660

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Solution

The fourth proportional to 24,596, 33,942.48 and 14,660 is: 20,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596 : 33,942.48 = 14,660 : x
  2. Step 2: Convert to fraction form
    24,596/33,942.48 = 14,660/x
  3. Step 3: Cross multiply
    24,596x = 33,942.48 × 14,660
  4. Step 4: Simplify right side
    24,596x = 497,596,756.80
  5. Step 5: Solve for x
    x = 497,596,756.80/24,596
  6. Step 6: Final answer
    x = 20,230.80

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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.