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Finding the Fourth Proportional to 24,965.38, 34,469.56 and 20,206.50

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Solution

The fourth proportional to 24,965.38, 34,469.56 and 20,206.50 is: 27,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.38 : 34,469.56 = 20,206.50 : x
  2. Step 2: Convert to fraction form
    24,965.38/34,469.56 = 20,206.50/x
  3. Step 3: Cross multiply
    24,965.38x = 34,469.56 × 20,206.50
  4. Step 4: Simplify right side
    24,965.38x = 696,509,164.14
  5. Step 5: Solve for x
    x = 696,509,164.14/24,965.38
  6. Step 6: Final answer
    x = 27,899.00

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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.