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Finding the Fourth Proportional to 17,744.16, 26,613.84 and 4,596.64

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Solution

The fourth proportional to 17,744.16, 26,613.84 and 4,596.64 is: 6,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.16 : 26,613.84 = 4,596.64 : x
  2. Step 2: Convert to fraction form
    17,744.16/26,613.84 = 4,596.64/x
  3. Step 3: Cross multiply
    17,744.16x = 26,613.84 × 4,596.64
  4. Step 4: Simplify right side
    17,744.16x = 122,334,241.50
  5. Step 5: Solve for x
    x = 122,334,241.50/17,744.16
  6. Step 6: Final answer
    x = 6,894.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.