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Finding the Fourth Proportional to 25,060.78, 37,588.03 and 8,192.38

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Solution

The fourth proportional to 25,060.78, 37,588.03 and 8,192.38 is: 12,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,060.78 : 37,588.03 = 8,192.38 : x
  2. Step 2: Convert to fraction form
    25,060.78/37,588.03 = 8,192.38/x
  3. Step 3: Cross multiply
    25,060.78x = 37,588.03 × 8,192.38
  4. Step 4: Simplify right side
    25,060.78x = 307,935,237.27
  5. Step 5: Solve for x
    x = 307,935,237.27/25,060.78
  6. Step 6: Final answer
    x = 12,287.54

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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.