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Finding the Fourth Proportional to 23,851, 35,764.92 and 7,207.84

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Solution

The fourth proportional to 23,851, 35,764.92 and 7,207.84 is: 10,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851 : 35,764.92 = 7,207.84 : x
  2. Step 2: Convert to fraction form
    23,851/35,764.92 = 7,207.84/x
  3. Step 3: Cross multiply
    23,851x = 35,764.92 × 7,207.84
  4. Step 4: Simplify right side
    23,851x = 257,787,820.97
  5. Step 5: Solve for x
    x = 257,787,820.97/23,851
  6. Step 6: Final answer
    x = 10,808.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.