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Finding the Fourth Proportional to 14,234.44, 19,650.72 and 9,760

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Solution

The fourth proportional to 14,234.44, 19,650.72 and 9,760 is: 13,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.44 : 19,650.72 = 9,760 : x
  2. Step 2: Convert to fraction form
    14,234.44/19,650.72 = 9,760/x
  3. Step 3: Cross multiply
    14,234.44x = 19,650.72 × 9,760
  4. Step 4: Simplify right side
    14,234.44x = 191,791,027.20
  5. Step 5: Solve for x
    x = 191,791,027.20/14,234.44
  6. Step 6: Final answer
    x = 13,473.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.