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Finding the Fourth Proportional to 27,732.80, 38,271.36 and 15,157.76

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Solution

The fourth proportional to 27,732.80, 38,271.36 and 15,157.76 is: 20,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.80 : 38,271.36 = 15,157.76 : x
  2. Step 2: Convert to fraction form
    27,732.80/38,271.36 = 15,157.76/x
  3. Step 3: Cross multiply
    27,732.80x = 38,271.36 × 15,157.76
  4. Step 4: Simplify right side
    27,732.80x = 580,108,089.75
  5. Step 5: Solve for x
    x = 580,108,089.75/27,732.80
  6. Step 6: Final answer
    x = 20,917.76

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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.