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Finding the Fourth Proportional to 25,727.59, 38,595.03 and 8,191.54

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Solution

The fourth proportional to 25,727.59, 38,595.03 and 8,191.54 is: 12,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,727.59 : 38,595.03 = 8,191.54 : x
  2. Step 2: Convert to fraction form
    25,727.59/38,595.03 = 8,191.54/x
  3. Step 3: Cross multiply
    25,727.59x = 38,595.03 × 8,191.54
  4. Step 4: Simplify right side
    25,727.59x = 316,152,732.05
  5. Step 5: Solve for x
    x = 316,152,732.05/25,727.59
  6. Step 6: Final answer
    x = 12,288.47

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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.