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Finding the Fourth Proportional to 19,731, 29,611.08 and 9,342.75

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Solution

The fourth proportional to 19,731, 29,611.08 and 9,342.75 is: 14,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 29,611.08 = 9,342.75 : x
  2. Step 2: Convert to fraction form
    19,731/29,611.08 = 9,342.75/x
  3. Step 3: Cross multiply
    19,731x = 29,611.08 × 9,342.75
  4. Step 4: Simplify right side
    19,731x = 276,648,917.67
  5. Step 5: Solve for x
    x = 276,648,917.67/19,731
  6. Step 6: Final answer
    x = 14,021.03

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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.