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Finding the Fourth Proportional to 24,640, 34,003.20 and 13,462

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Solution

The fourth proportional to 24,640, 34,003.20 and 13,462 is: 18,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640 : 34,003.20 = 13,462 : x
  2. Step 2: Convert to fraction form
    24,640/34,003.20 = 13,462/x
  3. Step 3: Cross multiply
    24,640x = 34,003.20 × 13,462
  4. Step 4: Simplify right side
    24,640x = 457,751,078.40
  5. Step 5: Solve for x
    x = 457,751,078.40/24,640
  6. Step 6: Final answer
    x = 18,577.56

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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.