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Finding the Fourth Proportional to 12,771.74, 19,125.56 and 8,077.59

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Solution

The fourth proportional to 12,771.74, 19,125.56 and 8,077.59 is: 12,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.74 : 19,125.56 = 8,077.59 : x
  2. Step 2: Convert to fraction form
    12,771.74/19,125.56 = 8,077.59/x
  3. Step 3: Cross multiply
    12,771.74x = 19,125.56 × 8,077.59
  4. Step 4: Simplify right side
    12,771.74x = 154,488,432.20
  5. Step 5: Solve for x
    x = 154,488,432.20/12,771.74
  6. Step 6: Final answer
    x = 12,096.11

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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.