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Finding the Fourth Proportional to 19,782.41, 29,653.11 and 12,369.85

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Solution

The fourth proportional to 19,782.41, 29,653.11 and 12,369.85 is: 18,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.41 : 29,653.11 = 12,369.85 : x
  2. Step 2: Convert to fraction form
    19,782.41/29,653.11 = 12,369.85/x
  3. Step 3: Cross multiply
    19,782.41x = 29,653.11 × 12,369.85
  4. Step 4: Simplify right side
    19,782.41x = 366,804,559.80
  5. Step 5: Solve for x
    x = 366,804,559.80/19,782.41
  6. Step 6: Final answer
    x = 18,541.96

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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.