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Finding the Fourth Proportional to 25,665.84, 38,500.12 and 8,137.04

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Solution

The fourth proportional to 25,665.84, 38,500.12 and 8,137.04 is: 12,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.84 : 38,500.12 = 8,137.04 : x
  2. Step 2: Convert to fraction form
    25,665.84/38,500.12 = 8,137.04/x
  3. Step 3: Cross multiply
    25,665.84x = 38,500.12 × 8,137.04
  4. Step 4: Simplify right side
    25,665.84x = 313,276,783.26
  5. Step 5: Solve for x
    x = 313,276,783.26/25,665.84
  6. Step 6: Final answer
    x = 12,205.98

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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.