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Finding the Fourth Proportional to 25,174.93, 37,759.94 and 7,644.91

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Solution

The fourth proportional to 25,174.93, 37,759.94 and 7,644.91 is: 11,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.93 : 37,759.94 = 7,644.91 : x
  2. Step 2: Convert to fraction form
    25,174.93/37,759.94 = 7,644.91/x
  3. Step 3: Cross multiply
    25,174.93x = 37,759.94 × 7,644.91
  4. Step 4: Simplify right side
    25,174.93x = 288,671,362.02
  5. Step 5: Solve for x
    x = 288,671,362.02/25,174.93
  6. Step 6: Final answer
    x = 11,466.62

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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.