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Finding the Fourth Proportional to 27,732.86, 38,271.63 and 15,157.61

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Solution

The fourth proportional to 27,732.86, 38,271.63 and 15,157.61 is: 20,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.86 : 38,271.63 = 15,157.61 : x
  2. Step 2: Convert to fraction form
    27,732.86/38,271.63 = 15,157.61/x
  3. Step 3: Cross multiply
    27,732.86x = 38,271.63 × 15,157.61
  4. Step 4: Simplify right side
    27,732.86x = 580,106,250.25
  5. Step 5: Solve for x
    x = 580,106,250.25/27,732.86
  6. Step 6: Final answer
    x = 20,917.65

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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.