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Finding the Fourth Proportional to 17,658.38, 24,370.73 and 10,206.38

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Solution

The fourth proportional to 17,658.38, 24,370.73 and 10,206.38 is: 14,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.38 : 24,370.73 = 10,206.38 : x
  2. Step 2: Convert to fraction form
    17,658.38/24,370.73 = 10,206.38/x
  3. Step 3: Cross multiply
    17,658.38x = 24,370.73 × 10,206.38
  4. Step 4: Simplify right side
    17,658.38x = 248,736,758.37
  5. Step 5: Solve for x
    x = 248,736,758.37/17,658.38
  6. Step 6: Final answer
    x = 14,086.05

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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.