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Finding the Fourth Proportional to 19,796, 27,317.68 and 11,842.62

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Solution

The fourth proportional to 19,796, 27,317.68 and 11,842.62 is: 16,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796 : 27,317.68 = 11,842.62 : x
  2. Step 2: Convert to fraction form
    19,796/27,317.68 = 11,842.62/x
  3. Step 3: Cross multiply
    19,796x = 27,317.68 × 11,842.62
  4. Step 4: Simplify right side
    19,796x = 323,512,903.52
  5. Step 5: Solve for x
    x = 323,512,903.52/19,796
  6. Step 6: Final answer
    x = 16,342.34

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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.