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Finding the Fourth Proportional to 25,725.62, 38,595.74 and 8,196.82

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Solution

The fourth proportional to 25,725.62, 38,595.74 and 8,196.82 is: 12,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.62 : 38,595.74 = 8,196.82 : x
  2. Step 2: Convert to fraction form
    25,725.62/38,595.74 = 8,196.82/x
  3. Step 3: Cross multiply
    25,725.62x = 38,595.74 × 8,196.82
  4. Step 4: Simplify right side
    25,725.62x = 316,362,196.07
  5. Step 5: Solve for x
    x = 316,362,196.07/25,725.62
  6. Step 6: Final answer
    x = 12,297.55

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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.