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Finding the Fourth Proportional to 25,205.68, 34,782.16 and 13,872.96

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Solution

The fourth proportional to 25,205.68, 34,782.16 and 13,872.96 is: 19,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.68 : 34,782.16 = 13,872.96 : x
  2. Step 2: Convert to fraction form
    25,205.68/34,782.16 = 13,872.96/x
  3. Step 3: Cross multiply
    25,205.68x = 34,782.16 × 13,872.96
  4. Step 4: Simplify right side
    25,205.68x = 482,531,514.39
  5. Step 5: Solve for x
    x = 482,531,514.39/25,205.68
  6. Step 6: Final answer
    x = 19,143.76

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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.