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Finding the Fourth Proportional to 19,755.83, 27,259.85 and 11,258.12

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Solution

The fourth proportional to 19,755.83, 27,259.85 and 11,258.12 is: 15,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.83 : 27,259.85 = 11,258.12 : x
  2. Step 2: Convert to fraction form
    19,755.83/27,259.85 = 11,258.12/x
  3. Step 3: Cross multiply
    19,755.83x = 27,259.85 × 11,258.12
  4. Step 4: Simplify right side
    19,755.83x = 306,894,469.89
  5. Step 5: Solve for x
    x = 306,894,469.89/19,755.83
  6. Step 6: Final answer
    x = 15,534.38

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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.