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Finding the Fourth Proportional to 22,977, 31,708.29 and 13,041

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Solution

The fourth proportional to 22,977, 31,708.29 and 13,041 is: 17,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 31,708.29 = 13,041 : x
  2. Step 2: Convert to fraction form
    22,977/31,708.29 = 13,041/x
  3. Step 3: Cross multiply
    22,977x = 31,708.29 × 13,041
  4. Step 4: Simplify right side
    22,977x = 413,507,809.89
  5. Step 5: Solve for x
    x = 413,507,809.89/22,977
  6. Step 6: Final answer
    x = 17,996.60

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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.