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Finding the Fourth Proportional to 25,740.38, 38,611.94 and 8,208.84

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Solution

The fourth proportional to 25,740.38, 38,611.94 and 8,208.84 is: 12,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740.38 : 38,611.94 = 8,208.84 : x
  2. Step 2: Convert to fraction form
    25,740.38/38,611.94 = 8,208.84/x
  3. Step 3: Cross multiply
    25,740.38x = 38,611.94 × 8,208.84
  4. Step 4: Simplify right side
    25,740.38x = 316,959,387.47
  5. Step 5: Solve for x
    x = 316,959,387.47/25,740.38
  6. Step 6: Final answer
    x = 12,313.70

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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.