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Finding the Fourth Proportional to 24,854, 34,299.24 and 13,676

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Solution

The fourth proportional to 24,854, 34,299.24 and 13,676 is: 18,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854 : 34,299.24 = 13,676 : x
  2. Step 2: Convert to fraction form
    24,854/34,299.24 = 13,676/x
  3. Step 3: Cross multiply
    24,854x = 34,299.24 × 13,676
  4. Step 4: Simplify right side
    24,854x = 469,076,406.24
  5. Step 5: Solve for x
    x = 469,076,406.24/24,854
  6. Step 6: Final answer
    x = 18,873.28

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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.