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Finding the Fourth Proportional to 24,750, 34,141.03 and 14,668.54

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Solution

The fourth proportional to 24,750, 34,141.03 and 14,668.54 is: 20,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 34,141.03 = 14,668.54 : x
  2. Step 2: Convert to fraction form
    24,750/34,141.03 = 14,668.54/x
  3. Step 3: Cross multiply
    24,750x = 34,141.03 × 14,668.54
  4. Step 4: Simplify right side
    24,750x = 500,798,942.17
  5. Step 5: Solve for x
    x = 500,798,942.17/24,750
  6. Step 6: Final answer
    x = 20,234.30

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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.