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Finding the Fourth Proportional to 24,640.98, 34,004.57 and 13,462.98

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Solution

The fourth proportional to 24,640.98, 34,004.57 and 13,462.98 is: 18,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640.98 : 34,004.57 = 13,462.98 : x
  2. Step 2: Convert to fraction form
    24,640.98/34,004.57 = 13,462.98/x
  3. Step 3: Cross multiply
    24,640.98x = 34,004.57 × 13,462.98
  4. Step 4: Simplify right side
    24,640.98x = 457,802,778.50
  5. Step 5: Solve for x
    x = 457,802,778.50/24,640.98
  6. Step 6: Final answer
    x = 18,578.92

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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.