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Finding the Fourth Proportional to 17,744.36, 26,616 and 4,596.24

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Solution

The fourth proportional to 17,744.36, 26,616 and 4,596.24 is: 6,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.36 : 26,616 = 4,596.24 : x
  2. Step 2: Convert to fraction form
    17,744.36/26,616 = 4,596.24/x
  3. Step 3: Cross multiply
    17,744.36x = 26,616 × 4,596.24
  4. Step 4: Simplify right side
    17,744.36x = 122,333,523.84
  5. Step 5: Solve for x
    x = 122,333,523.84/17,744.36
  6. Step 6: Final answer
    x = 6,894.22

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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.