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Finding the Fourth Proportional to 27,775.67, 41,669.42 and 15,934.88

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Solution

The fourth proportional to 27,775.67, 41,669.42 and 15,934.88 is: 23,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.67 : 41,669.42 = 15,934.88 : x
  2. Step 2: Convert to fraction form
    27,775.67/41,669.42 = 15,934.88/x
  3. Step 3: Cross multiply
    27,775.67x = 41,669.42 × 15,934.88
  4. Step 4: Simplify right side
    27,775.67x = 663,997,231.87
  5. Step 5: Solve for x
    x = 663,997,231.87/27,775.67
  6. Step 6: Final answer
    x = 23,905.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.