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Finding the Fourth Proportional to 22,638.01, 31,238.97 and 12,566.45

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Solution

The fourth proportional to 22,638.01, 31,238.97 and 12,566.45 is: 17,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.01 : 31,238.97 = 12,566.45 : x
  2. Step 2: Convert to fraction form
    22,638.01/31,238.97 = 12,566.45/x
  3. Step 3: Cross multiply
    22,638.01x = 31,238.97 × 12,566.45
  4. Step 4: Simplify right side
    22,638.01x = 392,562,954.56
  5. Step 5: Solve for x
    x = 392,562,954.56/22,638.01
  6. Step 6: Final answer
    x = 17,340.88

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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.