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Finding the Fourth Proportional to 25,343.52, 34,974 and 13,858.44

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Solution

The fourth proportional to 25,343.52, 34,974 and 13,858.44 is: 19,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.52 : 34,974 = 13,858.44 : x
  2. Step 2: Convert to fraction form
    25,343.52/34,974 = 13,858.44/x
  3. Step 3: Cross multiply
    25,343.52x = 34,974 × 13,858.44
  4. Step 4: Simplify right side
    25,343.52x = 484,685,080.56
  5. Step 5: Solve for x
    x = 484,685,080.56/25,343.52
  6. Step 6: Final answer
    x = 19,124.62

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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.