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Finding the Fourth Proportional to 29,954.60, 41,324.16 and 18,011

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Solution

The fourth proportional to 29,954.60, 41,324.16 and 18,011 is: 24,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.60 : 41,324.16 = 18,011 : x
  2. Step 2: Convert to fraction form
    29,954.60/41,324.16 = 18,011/x
  3. Step 3: Cross multiply
    29,954.60x = 41,324.16 × 18,011
  4. Step 4: Simplify right side
    29,954.60x = 744,289,445.76
  5. Step 5: Solve for x
    x = 744,289,445.76/29,954.60
  6. Step 6: Final answer
    x = 24,847.25

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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.