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Finding the Fourth Proportional to 17,406, 24,023.52 and 9,954

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Solution

The fourth proportional to 17,406, 24,023.52 and 9,954 is: 13,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 24,023.52 = 9,954 : x
  2. Step 2: Convert to fraction form
    17,406/24,023.52 = 9,954/x
  3. Step 3: Cross multiply
    17,406x = 24,023.52 × 9,954
  4. Step 4: Simplify right side
    17,406x = 239,130,118.08
  5. Step 5: Solve for x
    x = 239,130,118.08/17,406
  6. Step 6: Final answer
    x = 13,738.37

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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.