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Finding the Fourth Proportional to 27,568.30, 38,043.09 and 15,632.44

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Solution

The fourth proportional to 27,568.30, 38,043.09 and 15,632.44 is: 21,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.30 : 38,043.09 = 15,632.44 : x
  2. Step 2: Convert to fraction form
    27,568.30/38,043.09 = 15,632.44/x
  3. Step 3: Cross multiply
    27,568.30x = 38,043.09 × 15,632.44
  4. Step 4: Simplify right side
    27,568.30x = 594,706,321.84
  5. Step 5: Solve for x
    x = 594,706,321.84/27,568.30
  6. Step 6: Final answer
    x = 21,572.11

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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.