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Finding the Fourth Proportional to 20,776.96, 31,176.78 and 12,028.96

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Solution

The fourth proportional to 20,776.96, 31,176.78 and 12,028.96 is: 18,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.96 : 31,176.78 = 12,028.96 : x
  2. Step 2: Convert to fraction form
    20,776.96/31,176.78 = 12,028.96/x
  3. Step 3: Cross multiply
    20,776.96x = 31,176.78 × 12,028.96
  4. Step 4: Simplify right side
    20,776.96x = 375,024,239.55
  5. Step 5: Solve for x
    x = 375,024,239.55/20,776.96
  6. Step 6: Final answer
    x = 18,050.01

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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.