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Finding the Fourth Proportional to 25,783.20, 38,674.80 and 8,254.80

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Solution

The fourth proportional to 25,783.20, 38,674.80 and 8,254.80 is: 12,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.20 : 38,674.80 = 8,254.80 : x
  2. Step 2: Convert to fraction form
    25,783.20/38,674.80 = 8,254.80/x
  3. Step 3: Cross multiply
    25,783.20x = 38,674.80 × 8,254.80
  4. Step 4: Simplify right side
    25,783.20x = 319,252,739.04
  5. Step 5: Solve for x
    x = 319,252,739.04/25,783.20
  6. Step 6: Final answer
    x = 12,382.20

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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.