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Finding the Fourth Proportional to 25,742, 35,523.96 and 13,966

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Solution

The fourth proportional to 25,742, 35,523.96 and 13,966 is: 19,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742 : 35,523.96 = 13,966 : x
  2. Step 2: Convert to fraction form
    25,742/35,523.96 = 13,966/x
  3. Step 3: Cross multiply
    25,742x = 35,523.96 × 13,966
  4. Step 4: Simplify right side
    25,742x = 496,127,625.36
  5. Step 5: Solve for x
    x = 496,127,625.36/25,742
  6. Step 6: Final answer
    x = 19,273.08

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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.