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Finding the Fourth Proportional to 19,859.85, 27,403.38 and 11,900.25

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Solution

The fourth proportional to 19,859.85, 27,403.38 and 11,900.25 is: 16,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.85 : 27,403.38 = 11,900.25 : x
  2. Step 2: Convert to fraction form
    19,859.85/27,403.38 = 11,900.25/x
  3. Step 3: Cross multiply
    19,859.85x = 27,403.38 × 11,900.25
  4. Step 4: Simplify right side
    19,859.85x = 326,107,072.85
  5. Step 5: Solve for x
    x = 326,107,072.85/19,859.85
  6. Step 6: Final answer
    x = 16,420.42

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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.