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Finding the Fourth Proportional to 25,174.02, 37,761.15 and 7,644

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Solution

The fourth proportional to 25,174.02, 37,761.15 and 7,644 is: 11,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.02 : 37,761.15 = 7,644 : x
  2. Step 2: Convert to fraction form
    25,174.02/37,761.15 = 7,644/x
  3. Step 3: Cross multiply
    25,174.02x = 37,761.15 × 7,644
  4. Step 4: Simplify right side
    25,174.02x = 288,646,230.60
  5. Step 5: Solve for x
    x = 288,646,230.60/25,174.02
  6. Step 6: Final answer
    x = 11,466.04

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Why These Related Problems?

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