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Finding the Fourth Proportional to 25,816.68, 38,716.56 and 8,282.34

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Solution

The fourth proportional to 25,816.68, 38,716.56 and 8,282.34 is: 12,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.68 : 38,716.56 = 8,282.34 : x
  2. Step 2: Convert to fraction form
    25,816.68/38,716.56 = 8,282.34/x
  3. Step 3: Cross multiply
    25,816.68x = 38,716.56 × 8,282.34
  4. Step 4: Simplify right side
    25,816.68x = 320,663,713.55
  5. Step 5: Solve for x
    x = 320,663,713.55/25,816.68
  6. Step 6: Final answer
    x = 12,420.80

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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.