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Finding the Fourth Proportional to 12,123.78, 18,185.66 and 3,804.53

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Solution

The fourth proportional to 12,123.78, 18,185.66 and 3,804.53 is: 5,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.78 : 18,185.66 = 3,804.53 : x
  2. Step 2: Convert to fraction form
    12,123.78/18,185.66 = 3,804.53/x
  3. Step 3: Cross multiply
    12,123.78x = 18,185.66 × 3,804.53
  4. Step 4: Simplify right side
    12,123.78x = 69,187,779.09
  5. Step 5: Solve for x
    x = 69,187,779.09/12,123.78
  6. Step 6: Final answer
    x = 5,706.78

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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.