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Finding the Fourth Proportional to 17,334.47, 23,920.21 and 9,782.64

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Solution

The fourth proportional to 17,334.47, 23,920.21 and 9,782.64 is: 13,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.47 : 23,920.21 = 9,782.64 : x
  2. Step 2: Convert to fraction form
    17,334.47/23,920.21 = 9,782.64/x
  3. Step 3: Cross multiply
    17,334.47x = 23,920.21 × 9,782.64
  4. Step 4: Simplify right side
    17,334.47x = 234,002,815.38
  5. Step 5: Solve for x
    x = 234,002,815.38/17,334.47
  6. Step 6: Final answer
    x = 13,499.28

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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.