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Finding the Fourth Proportional to 17,852.48, 24,636 and 10,400

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Solution

The fourth proportional to 17,852.48, 24,636 and 10,400 is: 14,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.48 : 24,636 = 10,400 : x
  2. Step 2: Convert to fraction form
    17,852.48/24,636 = 10,400/x
  3. Step 3: Cross multiply
    17,852.48x = 24,636 × 10,400
  4. Step 4: Simplify right side
    17,852.48x = 256,214,400
  5. Step 5: Solve for x
    x = 256,214,400/17,852.48
  6. Step 6: Final answer
    x = 14,351.75

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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.