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Finding the Fourth Proportional to 17,796, 24,558.48 and 10,344

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Solution

The fourth proportional to 17,796, 24,558.48 and 10,344 is: 14,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796 : 24,558.48 = 10,344 : x
  2. Step 2: Convert to fraction form
    17,796/24,558.48 = 10,344/x
  3. Step 3: Cross multiply
    17,796x = 24,558.48 × 10,344
  4. Step 4: Simplify right side
    17,796x = 254,032,917.12
  5. Step 5: Solve for x
    x = 254,032,917.12/17,796
  6. Step 6: Final answer
    x = 14,274.72

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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.