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Finding the Fourth Proportional to 22,996, 31,734.48 and 13,060

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Solution

The fourth proportional to 22,996, 31,734.48 and 13,060 is: 18,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 31,734.48 = 13,060 : x
  2. Step 2: Convert to fraction form
    22,996/31,734.48 = 13,060/x
  3. Step 3: Cross multiply
    22,996x = 31,734.48 × 13,060
  4. Step 4: Simplify right side
    22,996x = 414,452,308.80
  5. Step 5: Solve for x
    x = 414,452,308.80/22,996
  6. Step 6: Final answer
    x = 18,022.80

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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.