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Finding the Fourth Proportional to 25,578.38, 35,299.26 and 14,247.88

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Solution

The fourth proportional to 25,578.38, 35,299.26 and 14,247.88 is: 19,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.38 : 35,299.26 = 14,247.88 : x
  2. Step 2: Convert to fraction form
    25,578.38/35,299.26 = 14,247.88/x
  3. Step 3: Cross multiply
    25,578.38x = 35,299.26 × 14,247.88
  4. Step 4: Simplify right side
    25,578.38x = 502,939,532.32
  5. Step 5: Solve for x
    x = 502,939,532.32/25,578.38
  6. Step 6: Final answer
    x = 19,662.68

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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.