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Finding the Fourth Proportional to 24,846.95, 34,289.69 and 14,238.63

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Solution

The fourth proportional to 24,846.95, 34,289.69 and 14,238.63 is: 19,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.95 : 34,289.69 = 14,238.63 : x
  2. Step 2: Convert to fraction form
    24,846.95/34,289.69 = 14,238.63/x
  3. Step 3: Cross multiply
    24,846.95x = 34,289.69 × 14,238.63
  4. Step 4: Simplify right side
    24,846.95x = 488,238,137.53
  5. Step 5: Solve for x
    x = 488,238,137.53/24,846.95
  6. Step 6: Final answer
    x = 19,649.83

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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.