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Finding the Fourth Proportional to 11,924.65, 17,887.32 and 3,159.56

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Solution

The fourth proportional to 11,924.65, 17,887.32 and 3,159.56 is: 4,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.65 : 17,887.32 = 3,159.56 : x
  2. Step 2: Convert to fraction form
    11,924.65/17,887.32 = 3,159.56/x
  3. Step 3: Cross multiply
    11,924.65x = 17,887.32 × 3,159.56
  4. Step 4: Simplify right side
    11,924.65x = 56,516,105.50
  5. Step 5: Solve for x
    x = 56,516,105.50/11,924.65
  6. Step 6: Final answer
    x = 4,739.43

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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.