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Finding the Fourth Proportional to 24,751.88, 37,134.22 and 9,173.96

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Solution

The fourth proportional to 24,751.88, 37,134.22 and 9,173.96 is: 13,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.88 : 37,134.22 = 9,173.96 : x
  2. Step 2: Convert to fraction form
    24,751.88/37,134.22 = 9,173.96/x
  3. Step 3: Cross multiply
    24,751.88x = 37,134.22 × 9,173.96
  4. Step 4: Simplify right side
    24,751.88x = 340,667,848.91
  5. Step 5: Solve for x
    x = 340,667,848.91/24,751.88
  6. Step 6: Final answer
    x = 13,763.31

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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.