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Finding the Fourth Proportional to 17,661.78, 24,373.91 and 10,586.84

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Solution

The fourth proportional to 17,661.78, 24,373.91 and 10,586.84 is: 14,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.78 : 24,373.91 = 10,586.84 : x
  2. Step 2: Convert to fraction form
    17,661.78/24,373.91 = 10,586.84/x
  3. Step 3: Cross multiply
    17,661.78x = 24,373.91 × 10,586.84
  4. Step 4: Simplify right side
    17,661.78x = 258,042,589.94
  5. Step 5: Solve for x
    x = 258,042,589.94/17,661.78
  6. Step 6: Final answer
    x = 14,610.23

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1.5x scale

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.