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Finding the Fourth Proportional to 25,823.68, 38,727.04 and 8,289.36

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Solution

The fourth proportional to 25,823.68, 38,727.04 and 8,289.36 is: 12,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.68 : 38,727.04 = 8,289.36 : x
  2. Step 2: Convert to fraction form
    25,823.68/38,727.04 = 8,289.36/x
  3. Step 3: Cross multiply
    25,823.68x = 38,727.04 × 8,289.36
  4. Step 4: Simplify right side
    25,823.68x = 321,022,376.29
  5. Step 5: Solve for x
    x = 321,022,376.29/25,823.68
  6. Step 6: Final answer
    x = 12,431.32

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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.