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Finding the Fourth Proportional to 24,751, 34,142.41 and 14,669.54

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Solution

The fourth proportional to 24,751, 34,142.41 and 14,669.54 is: 20,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751 : 34,142.41 = 14,669.54 : x
  2. Step 2: Convert to fraction form
    24,751/34,142.41 = 14,669.54/x
  3. Step 3: Cross multiply
    24,751x = 34,142.41 × 14,669.54
  4. Step 4: Simplify right side
    24,751x = 500,853,449.19
  5. Step 5: Solve for x
    x = 500,853,449.19/24,751
  6. Step 6: Final answer
    x = 20,235.69

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Why These Related Problems?

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