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Finding the Fourth Proportional to 25,474, 35,156.22 and 14,144.20

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Solution

The fourth proportional to 25,474, 35,156.22 and 14,144.20 is: 19,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474 : 35,156.22 = 14,144.20 : x
  2. Step 2: Convert to fraction form
    25,474/35,156.22 = 14,144.20/x
  3. Step 3: Cross multiply
    25,474x = 35,156.22 × 14,144.20
  4. Step 4: Simplify right side
    25,474x = 497,256,606.92
  5. Step 5: Solve for x
    x = 497,256,606.92/25,474
  6. Step 6: Final answer
    x = 19,520.16

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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.