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Finding the Fourth Proportional to 12,077.67, 18,123.80 and 4,285.88

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Solution

The fourth proportional to 12,077.67, 18,123.80 and 4,285.88 is: 6,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.67 : 18,123.80 = 4,285.88 : x
  2. Step 2: Convert to fraction form
    12,077.67/18,123.80 = 4,285.88/x
  3. Step 3: Cross multiply
    12,077.67x = 18,123.80 × 4,285.88
  4. Step 4: Simplify right side
    12,077.67x = 77,676,431.94
  5. Step 5: Solve for x
    x = 77,676,431.94/12,077.67
  6. Step 6: Final answer
    x = 6,431.41

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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.