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Finding the Fourth Proportional to 25,817.80, 38,732.10 and 8,289.40

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Solution

The fourth proportional to 25,817.80, 38,732.10 and 8,289.40 is: 12,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.80 : 38,732.10 = 8,289.40 : x
  2. Step 2: Convert to fraction form
    25,817.80/38,732.10 = 8,289.40/x
  3. Step 3: Cross multiply
    25,817.80x = 38,732.10 × 8,289.40
  4. Step 4: Simplify right side
    25,817.80x = 321,065,869.74
  5. Step 5: Solve for x
    x = 321,065,869.74/25,817.80
  6. Step 6: Final answer
    x = 12,435.83

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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.