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Finding the Fourth Proportional to 18,081.60, 24,951.24 and 10,122

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Solution

The fourth proportional to 18,081.60, 24,951.24 and 10,122 is: 13,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,081.60 : 24,951.24 = 10,122 : x
  2. Step 2: Convert to fraction form
    18,081.60/24,951.24 = 10,122/x
  3. Step 3: Cross multiply
    18,081.60x = 24,951.24 × 10,122
  4. Step 4: Simplify right side
    18,081.60x = 252,556,451.28
  5. Step 5: Solve for x
    x = 252,556,451.28/18,081.60
  6. Step 6: Final answer
    x = 13,967.59

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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.