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Finding the Fourth Proportional to 12,722.89, 17,555.97 and 7,416.38

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Solution

The fourth proportional to 12,722.89, 17,555.97 and 7,416.38 is: 10,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.89 : 17,555.97 = 7,416.38 : x
  2. Step 2: Convert to fraction form
    12,722.89/17,555.97 = 7,416.38/x
  3. Step 3: Cross multiply
    12,722.89x = 17,555.97 × 7,416.38
  4. Step 4: Simplify right side
    12,722.89x = 130,201,744.79
  5. Step 5: Solve for x
    x = 130,201,744.79/12,722.89
  6. Step 6: Final answer
    x = 10,233.66

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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.