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Finding the Fourth Proportional to 25,827.20, 38,740.76 and 8,309.33

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Solution

The fourth proportional to 25,827.20, 38,740.76 and 8,309.33 is: 12,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.20 : 38,740.76 = 8,309.33 : x
  2. Step 2: Convert to fraction form
    25,827.20/38,740.76 = 8,309.33/x
  3. Step 3: Cross multiply
    25,827.20x = 38,740.76 × 8,309.33
  4. Step 4: Simplify right side
    25,827.20x = 321,909,759.29
  5. Step 5: Solve for x
    x = 321,909,759.29/25,827.20
  6. Step 6: Final answer
    x = 12,463.98

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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.