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Finding the Fourth Proportional to 22,996.50, 31,735.20 and 13,060.50

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Solution

The fourth proportional to 22,996.50, 31,735.20 and 13,060.50 is: 18,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.50 : 31,735.20 = 13,060.50 : x
  2. Step 2: Convert to fraction form
    22,996.50/31,735.20 = 13,060.50/x
  3. Step 3: Cross multiply
    22,996.50x = 31,735.20 × 13,060.50
  4. Step 4: Simplify right side
    22,996.50x = 414,477,579.60
  5. Step 5: Solve for x
    x = 414,477,579.60/22,996.50
  6. Step 6: Final answer
    x = 18,023.51

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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.