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Finding the Fourth Proportional to 25,640, 35,383.76 and 14,462

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Solution

The fourth proportional to 25,640, 35,383.76 and 14,462 is: 19,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640 : 35,383.76 = 14,462 : x
  2. Step 2: Convert to fraction form
    25,640/35,383.76 = 14,462/x
  3. Step 3: Cross multiply
    25,640x = 35,383.76 × 14,462
  4. Step 4: Simplify right side
    25,640x = 511,719,937.12
  5. Step 5: Solve for x
    x = 511,719,937.12/25,640
  6. Step 6: Final answer
    x = 19,957.88

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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.