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Finding the Fourth Proportional to 25,051, 34,571.46 and 13,873

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Solution

The fourth proportional to 25,051, 34,571.46 and 13,873 is: 19,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051 : 34,571.46 = 13,873 : x
  2. Step 2: Convert to fraction form
    25,051/34,571.46 = 13,873/x
  3. Step 3: Cross multiply
    25,051x = 34,571.46 × 13,873
  4. Step 4: Simplify right side
    25,051x = 479,609,864.58
  5. Step 5: Solve for x
    x = 479,609,864.58/25,051
  6. Step 6: Final answer
    x = 19,145.34

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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.