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Finding the Fourth Proportional to 25,174.14, 37,728.90 and 21,271.38

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Solution

The fourth proportional to 25,174.14, 37,728.90 and 21,271.38 is: 31,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.14 : 37,728.90 = 21,271.38 : x
  2. Step 2: Convert to fraction form
    25,174.14/37,728.90 = 21,271.38/x
  3. Step 3: Cross multiply
    25,174.14x = 37,728.90 × 21,271.38
  4. Step 4: Simplify right side
    25,174.14x = 802,545,768.88
  5. Step 5: Solve for x
    x = 802,545,768.88/25,174.14
  6. Step 6: Final answer
    x = 31,879.77

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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.