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Finding the Fourth Proportional to 25,727.37, 38,590.65 and 8,197.08

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Solution

The fourth proportional to 25,727.37, 38,590.65 and 8,197.08 is: 12,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,727.37 : 38,590.65 = 8,197.08 : x
  2. Step 2: Convert to fraction form
    25,727.37/38,590.65 = 8,197.08/x
  3. Step 3: Cross multiply
    25,727.37x = 38,590.65 × 8,197.08
  4. Step 4: Simplify right side
    25,727.37x = 316,330,645.30
  5. Step 5: Solve for x
    x = 316,330,645.30/25,727.37
  6. Step 6: Final answer
    x = 12,295.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.