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Finding the Fourth Proportional to 25,725.52, 38,578.68 and 8,853.78

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Solution

The fourth proportional to 25,725.52, 38,578.68 and 8,853.78 is: 13,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.52 : 38,578.68 = 8,853.78 : x
  2. Step 2: Convert to fraction form
    25,725.52/38,578.68 = 8,853.78/x
  3. Step 3: Cross multiply
    25,725.52x = 38,578.68 × 8,853.78
  4. Step 4: Simplify right side
    25,725.52x = 341,567,145.41
  5. Step 5: Solve for x
    x = 341,567,145.41/25,725.52
  6. Step 6: Final answer
    x = 13,277.37

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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.