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Finding the Fourth Proportional to 25,871.91, 38,817.23 and 12,733.50

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Solution

The fourth proportional to 25,871.91, 38,817.23 and 12,733.50 is: 19,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.91 : 38,817.23 = 12,733.50 : x
  2. Step 2: Convert to fraction form
    25,871.91/38,817.23 = 12,733.50/x
  3. Step 3: Cross multiply
    25,871.91x = 38,817.23 × 12,733.50
  4. Step 4: Simplify right side
    25,871.91x = 494,279,280.10
  5. Step 5: Solve for x
    x = 494,279,280.10/25,871.91
  6. Step 6: Final answer
    x = 19,104.87

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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.