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Finding the Fourth Proportional to 27,693.60, 41,525.73 and 12,093

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Solution

The fourth proportional to 27,693.60, 41,525.73 and 12,093 is: 18,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.60 : 41,525.73 = 12,093 : x
  2. Step 2: Convert to fraction form
    27,693.60/41,525.73 = 12,093/x
  3. Step 3: Cross multiply
    27,693.60x = 41,525.73 × 12,093
  4. Step 4: Simplify right side
    27,693.60x = 502,170,652.89
  5. Step 5: Solve for x
    x = 502,170,652.89/27,693.60
  6. Step 6: Final answer
    x = 18,133.09

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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.