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Finding the Fourth Proportional to 24,847.31, 34,290.20 and 14,238.99

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Solution

The fourth proportional to 24,847.31, 34,290.20 and 14,238.99 is: 19,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.31 : 34,290.20 = 14,238.99 : x
  2. Step 2: Convert to fraction form
    24,847.31/34,290.20 = 14,238.99/x
  3. Step 3: Cross multiply
    24,847.31x = 34,290.20 × 14,238.99
  4. Step 4: Simplify right side
    24,847.31x = 488,257,814.90
  5. Step 5: Solve for x
    x = 488,257,814.90/24,847.31
  6. Step 6: Final answer
    x = 19,650.33

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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.