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Finding the Fourth Proportional to 24,912.50, 34,379.26 and 14,302.82

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Solution

The fourth proportional to 24,912.50, 34,379.26 and 14,302.82 is: 19,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.50 : 34,379.26 = 14,302.82 : x
  2. Step 2: Convert to fraction form
    24,912.50/34,379.26 = 14,302.82/x
  3. Step 3: Cross multiply
    24,912.50x = 34,379.26 × 14,302.82
  4. Step 4: Simplify right side
    24,912.50x = 491,720,367.51
  5. Step 5: Solve for x
    x = 491,720,367.51/24,912.50
  6. Step 6: Final answer
    x = 19,737.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.