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Finding the Fourth Proportional to 27,969.80, 38,597.76 and 15,222.78

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Solution

The fourth proportional to 27,969.80, 38,597.76 and 15,222.78 is: 21,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.80 : 38,597.76 = 15,222.78 : x
  2. Step 2: Convert to fraction form
    27,969.80/38,597.76 = 15,222.78/x
  3. Step 3: Cross multiply
    27,969.80x = 38,597.76 × 15,222.78
  4. Step 4: Simplify right side
    27,969.80x = 587,565,208.97
  5. Step 5: Solve for x
    x = 587,565,208.97/27,969.80
  6. Step 6: Final answer
    x = 21,007.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.