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Finding the Fourth Proportional to 27,258.88, 40,857.54 and 13,894.33

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Solution

The fourth proportional to 27,258.88, 40,857.54 and 13,894.33 is: 20,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.88 : 40,857.54 = 13,894.33 : x
  2. Step 2: Convert to fraction form
    27,258.88/40,857.54 = 13,894.33/x
  3. Step 3: Cross multiply
    27,258.88x = 40,857.54 × 13,894.33
  4. Step 4: Simplify right side
    27,258.88x = 567,688,143.75
  5. Step 5: Solve for x
    x = 567,688,143.75/27,258.88
  6. Step 6: Final answer
    x = 20,825.81

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