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Finding the Fourth Proportional to 20,771.25, 31,156.88 and 8,459.25

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Solution

The fourth proportional to 20,771.25, 31,156.88 and 8,459.25 is: 12,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.25 : 31,156.88 = 8,459.25 : x
  2. Step 2: Convert to fraction form
    20,771.25/31,156.88 = 8,459.25/x
  3. Step 3: Cross multiply
    20,771.25x = 31,156.88 × 8,459.25
  4. Step 4: Simplify right side
    20,771.25x = 263,563,794.84
  5. Step 5: Solve for x
    x = 263,563,794.84/20,771.25
  6. Step 6: Final answer
    x = 12,688.88

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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.