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Finding the Fourth Proportional to 27,770.88, 38,323.92 and 15,196.32

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Solution

The fourth proportional to 27,770.88, 38,323.92 and 15,196.32 is: 20,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.88 : 38,323.92 = 15,196.32 : x
  2. Step 2: Convert to fraction form
    27,770.88/38,323.92 = 15,196.32/x
  3. Step 3: Cross multiply
    27,770.88x = 38,323.92 × 15,196.32
  4. Step 4: Simplify right side
    27,770.88x = 582,382,551.97
  5. Step 5: Solve for x
    x = 582,382,551.97/27,770.88
  6. Step 6: Final answer
    x = 20,970.98

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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.