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Finding the Fourth Proportional to 22,638.85, 31,239.88 and 12,566.36

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Solution

The fourth proportional to 22,638.85, 31,239.88 and 12,566.36 is: 17,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.85 : 31,239.88 = 12,566.36 : x
  2. Step 2: Convert to fraction form
    22,638.85/31,239.88 = 12,566.36/x
  3. Step 3: Cross multiply
    22,638.85x = 31,239.88 × 12,566.36
  4. Step 4: Simplify right side
    22,638.85x = 392,571,625.12
  5. Step 5: Solve for x
    x = 392,571,625.12/22,638.85
  6. Step 6: Final answer
    x = 17,340.62

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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.