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Finding the Fourth Proportional to 17,924.86, 26,850.30 and 10,506.79

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Solution

The fourth proportional to 17,924.86, 26,850.30 and 10,506.79 is: 15,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.86 : 26,850.30 = 10,506.79 : x
  2. Step 2: Convert to fraction form
    17,924.86/26,850.30 = 10,506.79/x
  3. Step 3: Cross multiply
    17,924.86x = 26,850.30 × 10,506.79
  4. Step 4: Simplify right side
    17,924.86x = 282,110,463.54
  5. Step 5: Solve for x
    x = 282,110,463.54/17,924.86
  6. Step 6: Final answer
    x = 15,738.50

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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.