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Finding the Fourth Proportional to 17,664.16, 24,375.36 and 9,706

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Solution

The fourth proportional to 17,664.16, 24,375.36 and 9,706 is: 13,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.16 : 24,375.36 = 9,706 : x
  2. Step 2: Convert to fraction form
    17,664.16/24,375.36 = 9,706/x
  3. Step 3: Cross multiply
    17,664.16x = 24,375.36 × 9,706
  4. Step 4: Simplify right side
    17,664.16x = 236,587,244.16
  5. Step 5: Solve for x
    x = 236,587,244.16/17,664.16
  6. Step 6: Final answer
    x = 13,393.63

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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.