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Finding the Fourth Proportional to 25,693.82, 38,540.13 and 11,842.82

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Solution

The fourth proportional to 25,693.82, 38,540.13 and 11,842.82 is: 17,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.82 : 38,540.13 = 11,842.82 : x
  2. Step 2: Convert to fraction form
    25,693.82/38,540.13 = 11,842.82/x
  3. Step 3: Cross multiply
    25,693.82x = 38,540.13 × 11,842.82
  4. Step 4: Simplify right side
    25,693.82x = 456,423,822.37
  5. Step 5: Solve for x
    x = 456,423,822.37/25,693.82
  6. Step 6: Final answer
    x = 17,763.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.