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Finding the Fourth Proportional to 25,652, 35,399.76 and 14,474

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Solution

The fourth proportional to 25,652, 35,399.76 and 14,474 is: 19,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652 : 35,399.76 = 14,474 : x
  2. Step 2: Convert to fraction form
    25,652/35,399.76 = 14,474/x
  3. Step 3: Cross multiply
    25,652x = 35,399.76 × 14,474
  4. Step 4: Simplify right side
    25,652x = 512,376,126.24
  5. Step 5: Solve for x
    x = 512,376,126.24/25,652
  6. Step 6: Final answer
    x = 19,974.12

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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.