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Finding the Fourth Proportional to 25,852.97, 38,754.81 and 8,310.47

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Solution

The fourth proportional to 25,852.97, 38,754.81 and 8,310.47 is: 12,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.97 : 38,754.81 = 8,310.47 : x
  2. Step 2: Convert to fraction form
    25,852.97/38,754.81 = 8,310.47/x
  3. Step 3: Cross multiply
    25,852.97x = 38,754.81 × 8,310.47
  4. Step 4: Simplify right side
    25,852.97x = 322,070,685.86
  5. Step 5: Solve for x
    x = 322,070,685.86/25,852.97
  6. Step 6: Final answer
    x = 12,457.78

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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.