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Finding the Fourth Proportional to 25,064, 37,589.84 and 11,027.55

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Solution

The fourth proportional to 25,064, 37,589.84 and 11,027.55 is: 16,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 37,589.84 = 11,027.55 : x
  2. Step 2: Convert to fraction form
    25,064/37,589.84 = 11,027.55/x
  3. Step 3: Cross multiply
    25,064x = 37,589.84 × 11,027.55
  4. Step 4: Simplify right side
    25,064x = 414,523,840.09
  5. Step 5: Solve for x
    x = 414,523,840.09/25,064
  6. Step 6: Final answer
    x = 16,538.61

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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.