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Finding the Fourth Proportional to 25,293, 34,906.26 and 13,964.68

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Solution

The fourth proportional to 25,293, 34,906.26 and 13,964.68 is: 19,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293 : 34,906.26 = 13,964.68 : x
  2. Step 2: Convert to fraction form
    25,293/34,906.26 = 13,964.68/x
  3. Step 3: Cross multiply
    25,293x = 34,906.26 × 13,964.68
  4. Step 4: Simplify right side
    25,293x = 487,454,750.90
  5. Step 5: Solve for x
    x = 487,454,750.90/25,293
  6. Step 6: Final answer
    x = 19,272.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.