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Finding the Fourth Proportional to 27,732.67, 38,271.08 and 15,157.42

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Solution

The fourth proportional to 27,732.67, 38,271.08 and 15,157.42 is: 20,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.67 : 38,271.08 = 15,157.42 : x
  2. Step 2: Convert to fraction form
    27,732.67/38,271.08 = 15,157.42/x
  3. Step 3: Cross multiply
    27,732.67x = 38,271.08 × 15,157.42
  4. Step 4: Simplify right side
    27,732.67x = 580,090,775.63
  5. Step 5: Solve for x
    x = 580,090,775.63/27,732.67
  6. Step 6: Final answer
    x = 20,917.24

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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.