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Finding the Fourth Proportional to 25,805, 38,675.10 and 13,958.30

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Solution

The fourth proportional to 25,805, 38,675.10 and 13,958.30 is: 20,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805 : 38,675.10 = 13,958.30 : x
  2. Step 2: Convert to fraction form
    25,805/38,675.10 = 13,958.30/x
  3. Step 3: Cross multiply
    25,805x = 38,675.10 × 13,958.30
  4. Step 4: Simplify right side
    25,805x = 539,838,648.33
  5. Step 5: Solve for x
    x = 539,838,648.33/25,805
  6. Step 6: Final answer
    x = 20,919.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.